Proceedings of the 2nd International Conference on Nonlinear Dynamics and Applications (ICNDA 2024), Volume 1

Name: Proceedings of the 2nd International Conference on Nonlinear Dynamics and Applications (ICNDA 2024), Volume 1 | Nonlinear Waves and Plasma Dynamics
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Nonlinear Waves and Plasma Dynamics

Asit Saha Santo Banerjee(Herausgeber*in)

Springer (Verlag)

1. Auflage

Erschienen am 10. September 2024

XVIII, 692 Seiten

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Inhalt

Intro
Preface
Organization
Contents
Nonlinear Waves and Plasma Dynamics
Strong Landau Damping of Electron Plasma Waves and Vortical Analysis of the Formed Electron Holes
1 Introduction
2 Methodology
2.1 Governing Equations
2.2 Numerical Techniques
3 Results and Discussion
3.1 Nonlinear Landau Damping and Formation of Electron Phase-Space Holes
3.2 Phase-Space Fluid-Analogous Analysis of the Electron Holes
4 Conclusion
References
Bifurcation Analysis and the Influence of (r,q) Distribution on Ion-Acoustic Kinetic Alfven Waves
1 Introduction
2 Governing Equations
3 Derivation of the Korteweg de-Vries Equation
4 Formation of Dynamical System for the KdV Equation
4.1 Solitary Wave Solution
5 Conclusions
References
Propagation of Ion Acoustic Solitons Around the Critical Values in Weakly Relativistic Unmagnetized Plasmas Having Nonthermal Distributed Electrons and Positrons
1 Introduction
2 Theoretical Model Equations
3 Formation of mKdVE
4 Results and Discussion
5 Conclusion
References
Comparative Study of Small Amplitude Dust Ion Acoustic Korteweg-de Vries and Modified Korteweg-de Vries Solitons in a Dusty Plasma with Weak Relativistic Electrons
1 Introduction
2 Governing Equations Defining the Plasma System
3 Derivation of Nonlinear Wave Equations
3.1 Derivation of KdV Equation of Quadratic Nonlinearity
3.2 Derivation of mKdV Equation of Cubic Nonlinearity
3.3 Solution of Nonlinear Wave Equations
4 Results and Discussion
5 Conclusion
References
Nonlinear Propagation of Ion-Acoustic Soliton in a Magnetized Three Component Relativistic Plasma
1 Introduction
2 Theoretical Model Equations
3 Formation of KdVE
4 Results and Discussion
5 Conclusions
References
Gardner Solitons and Double Layers in Self-gravito-Electrostatic Opposite Polarity Magnetized Dusty Plasmas
1 Introduction
2 The Model
3 Derivation and Solution of the KdV Equation
4 Derivation and Solution of the mKdV Equation
5 The SG Equation
5.1 Derivation of SG Equation
5.2 SWs Solution of SG Equation
5.3 DLs Solution
6 Discussion and Conclusion
References
Propagation of Nonlinear Dust Acoustic Solitons in an Inhomogeneous Magnetized Plasma
1 Introduction
2 Governing Equations and Derivation
3 Results and Discussion
4 Conclusion
References
Study of Upper Hybrid Waves Instability in Collisional Magneto Gallium Antimonide (GaSb) Semiconducting Plasma System
1 Introduction
2 Physical and Mathematical Modelling of Problem
3 Results and Discussion
4 Conclusion
References
Study on Atmospheric Internal Waves Phenomenon Model by Variational Iteration Transform Method
1 Introduction
2 Definition and Preliminaries
2.1 Shehu Transform Properties
3 Variational Iteration Transform Method
4 Convergence of VITM
5 Application
6 Result and Discussion
7 Conclusion
References
Nonextensive Effect on the Lump Soliton Structures in Dusty Plasma
1 Introduction
2 Governing Equations
3 Normalized Equations
4 Formation of the Kadomtsev-Petviashvili Equation
4.1 Stretched Co-ordinates and Perturbation
4.2 Well Known KP Equation
5 Lump Soliton of the KP Equation
6 Results and Discussions
7 Conclusion
References
A Study on Hybrid Solutions and Their Interactions in the Extended Nonlinear Schrödinger equation
1 Introduction
2 Generalized Darboux Transformation Method
3 Soliton and Positon Interactions
3.1 One Soliton - Second Order Positon Interaction
3.2 Two Soliton - Second Order Positon Interaction
3.3 One Soliton - Third Order Positon Interaction
4 Breathers and Breather-Positon Interactions
5 Conclusion
References
Exact Traveling Wave Solutions of the Fractional Type Kuramoto-Sivashinsky (KS-Equation) Equation by G'G-Expansion Method
1 Introduction
2 Preliminaries
3 Methodology of the(G'G)-Expansion Method
4 Application of G'G-Expansion Method
4.1 To Evaluate the Wave Solution of Fractional Non-Linear Kuramoto-Sivashinsky (KS-Equation) Equation
5 Conclusion
References
Dust-Acoustic Multi-solitons and Shock in a Polarized Space Dusty Plasma Using Darboux Transformation
1 Introduction
2 Basic Fluid Equations
3 Derivation of the Burger's Equation
4 Solutions of the Burger's Equation Using the Darboux Transformation
5 Solitons and Shocks
6 Conclusions
References
Solitons and Resonance in Fractional Sawada-Kotera Equation Using Hirota Bilinear Method
1 Introduction
2 Fractioanl Calculus
2.1 Definition-1
2.2 Definition-2
2.3 Definition-3
3 Mathematical Formulation
3.1 Hirota Bilinear Method
3.2 One-Soliton Solution
3.3 Two-Soliton Solution
4 Results and Discussions
5 Conclusion
References
Nonlinear Wave Features of the Time Fractional Gardner Equation Using Darboux Transformation
1 Introduction
2 Transformation
3 Lax Pair
4 Darboux Transformation (DT) and Soliton nonlinear Wave Features of the time fractional Gardner equation
4.1 One-Soliton nonlinear Wave Features
4.2 Two-Soliton nonlinear Wave Features
5 Results and Discussions
6 Conclusions
References
Excitation of Pinned Solitons by Moving Charge Debris in a Plasma with Kappa-Distributed Electrons
1 Introduction
2 Model Equations
2.1 External Perturbation: Charged Debris
3 Pseudo-Potential Analysis
4 Numerical Simulation Results
5 Discussion and Conclusions
References
Bifurcation of Small Amplitude Dust-Acoustic Waves in Two-Temperature Ions Dissipative Plasmas
1 Introduction
2 Governing Equations
3 Burgers Equation
3.1 Formation of Dynamical System and Wave Solutions
4 The Modified Burgers Equation
4.1 Formation of Dynamical System and Wave Solutions
5 Result Discussions
6 Conclusions
References
Multi-soliton Solution and Periodic Solution of the Fractional Lax Equation Using by Darboux Transformation
1 Introduction
2 Preliminaries and Definitions
2.1 Definition
2.2 Fractional Integral Operator
2.3 Modified Riemann-Liouville Fractional Derivative
3 Fractional Complex Transformation
4 Lax Pair and Darboux Transformation
5 Solution of the Fractional Lax Equation
5.1 One Solitary Wave Solution and Singular Solitary Wave Solution
5.2 Singular Periodic Solitary Wave Solution
5.3 Two Soliton Solution
6 Conclusion
References
Study of Modulational Instability in Bose-Einstein Condensates with Spin-Orbit Coupling in Staggered Mode
1 Introduction
2 The Model
3 Linear Stability Analysis
4 Results and Discussion
5 Conclusion
References
Ion Acoustic Cnoidal Waves in an Ion-Beam Multispecies Plasma
1 Introduction
2 Plasma Fluid Model
2.1 KdV Equation: Derivation and its Solution
3 Solution of KdV Equation: Cnoidal Wave
4 Numerical Analysis
5 Conclusions
References
Nonlinear Ion Acoustic Wave Excitations in Magnetized Plasma with Cairns Hot and Cold Electron Distribution and Monoenergetic Electron Beam
1 Introduction
2 Basic Equations
3 Nonlinear Analysis and the KdV Equation
4 Solution of KdV Equation and Discussion
5 Conclusion
References
Bifurcation of Ion-Acoustic Waves in Venus' Upper Ionosphere
1 Introduction
2 Basic Equations
3 The Korteweg-de vries (KdV) equation
4 Dynamical System and the KdV Equation
4.1 Phase Plane Analysis
4.2 Solitary and Periodic Wave Solutions
5 Conclusion
References
Bifurcation Study of Nonlinear Spherical Structure for Degenerate Electron-Positron Quantum Plasma
1 Introduction
2 Governing Equations
3 Bifurcation of Reduced SKP Equation
4 Numerical Results and Discussion
5 Conclusions
References
Propagation of Two-Soliton in a Compressible Hyperelastic Rod
1 Introduction
2 Basic Equations
3 KdV Equation
4 Two-Soliton
5 Variation of Two-Soliton and Phase Shift
6 Conclusion
References
Spin-Orbit Coupled Rotating Spin-1 Bose-Einstein Condensates Under the Influence of External Magnetic Field
1 Introduction
2 Mean-Field Model and Hamiltonian
3 Results and Discussions
4 Conclusions
References
Nonlinear Evolutionary Stages of a Dispersive Kappa Distributed Magnetized Plasma
1 Introduction
2 Problem Design
2.1 Limits of the Distribution Function
2.2 Governing Equations
2.3 Derivation of the Evolutionary Equation
3 Results
3.1 Parametric Dependence: Numerical Analysis
3.2 Dynamical System and Stability Analysis
4 Conclusion
References
Inhomogeneity Effects on Energy and Instability of Ion-Acoustic Solitary Waves in Quantum Magnetized Plasma
1 Basic Equations of The Model
2 Derivation of the VZK Equation
3 Solitary Wave Analysis
4 Stability Analysis
5 Discussion and Conclusions
References
Bounds on the Phase Speed of Swirling Flows
1 Introduction
2 Heterogeneous Stability Equation
3 Instability Region
4 Concluding Remarks
References
Dynamics of Ion-Acoustic Waves in a Magnetised Plasma with Two-Temperature Superthermal Electrons
1 Indroduction
2 Governing Equations
3 Formation of the ZK Equation
4 Dynamical Properties of IAWs
5 Solitary Wave Solutions of ZK Equation
6 Conclusions
References
Study of Spin Reorientation and Dielectric Phenomenon in Sm3-xBixFe5O12(x=0.0-0.6) Samples
1 Introduction
2 Experimental Techniques
3 Results and Discussion
3.1 Structural Characterizations
3.2 Magnetic Characterization
3.3 Dielectric Characterizations
4 Conclusion
References
The Perturbed Potential Kadomtsev-Petviashvili Equation: Bilinear Form, Multi Shock, Kinky-Breather, Resonant Y-Type Shock Solutions
1 Introduction
2 Bilinear Form and Bilinear Bäcklund Transformation for pPKP Equation
3 Solutions for pPKP Equation
3.1 1-Shock Solution
3.2 2-Shock Solution
3.3 3-Shock Solution
3.4 K-Shock Wave Solutions
3.5 1-Order Kinky Breather
3.6 A Hybrid Solution Between a 1-Shock and 1-Order Kinky Breather
3.7 2-Order Kinky Breather
3.8 A Hybrid Solution Between a 1-Order Kinky Breather and 2-Shock
3.9 Resonance Y-Type Solutions
4 Conclusion
References
Instabilities of Ion Sound Wave Due to Density and Temperature Gradients in the Presence of "0245F "0245B Drift Wave Turbulence
1 Introduction
2 Mathematical Model
3 Mathematical Analysis
4 Ion-Sound Wave Instabilities
4.1 Growth Rate of Ion-Sound Wave
5 Discussions and Results
6 Conclusion
References
Stronger Self-focusing of Gaussian Laser Beam in Collisionless Plasma Based Exponential Density Profile
1 Introduction
2 Self-focusing
3 Results and Discussion
4 Conclusion
References
Superperiodic and Periodic Waves in a Magnetized Electron-Positron-Ion Quantum Plasma Under the KP and the mKP Equations
1 Introduction
2 Normalized Governing Equations
3 Derivation of the KP Equation
4 Phase Plane Analysis of the KP Equation
5 Derivation of the mKP Equation
6 Phase Plane Analysis of the mKP Equation
7 Conclusion
References
Nonlinear Acoustic Modes Inside White Dwarfs
1 Introduction
2 Model Formalism
3 Analytical Calculation Scheme
4 Results and Discussions
5 Conclusions
References
Dynamics on New Wave Shapes of the Landau-Ginzburg-Higgs Equation Using a New Extended Hyperbolic Function Method
1 Introduction
2 Algorithm of the Technique
3 Soltion Solution of Landau-Ginburg-Higgs Equation
3.1 The Extended Hyperbolic Function Technique
4 Simulations and Discussion
5 Conclusion
References
Non-autonomous for Modified Fifth-Order Korteweg-de Vries Equation with Variable Coefficients, Breather, and Soliton
1 Introduction
2 Soliton Solutions for the mKdV Equations
3 Breather
4 Discussion
5 Conclusions
References
Bilinear Forms, N-soliton Solution for Extended Fifth-Order Korteweg-de Vries (eKdV), Breather
1 Introduction
2 Soliton Solution for Extend Korteweg de Vries (eKdV) Equation
3 Breather
4 Discussions
5 Conclusions
References
Ion Bernstein Mode Instability in Presence of Ion Cyclotron Turbulence Associated with Particle Heating
1 Introduction
2 Formulation
3 Growth Rate of Ion Bernstein Mode Wave
4 Discussions and Conclusions
References
Higher Order Stability of Dust Ion Acoustic Solitary Wave Solution Described by the KP Equation
1 Introduction
2 Stability Analysis
2.1 Zeroth Order Equation
2.2 First Order Equation
2.3 Second Order Equation
2.4 Third Order Equation
3 Conclusions
References
Investigation of Dust-Ion-Acoustic Shock and Solitary Waves in a Magnetised Multicomponent Plasma with Supra-Thermal Electrons
1 Introduction
2 Formulation
3 Derivation of Burgers Equation
4 Analytical Solution of Dark and Bright Waves
5 Conclusion
References
The Study of Dust Acoustic Solitary Waves in a Dense Electron-Positron Plasma with Viscous Dust Particles in the KBM Approach
1 Introduction
2 Formulation
3 Derivation of Modified-KdV-Burger
4 Solution of the KdV-B Equation
5 Result and Discussion
6 Conclusion
References
Solitary and Shock Structures in Two Temperature Magnetized Plasma
1 Introduction
2 Fluid Equations
3 KdVB Equation and Solution
4 Parametric Analysis
5 Conclusion
References
An Effective Numerical Approach Based on Collocation Method for the Generalized Rosenau-RLW-Burgers Equation
1 Introduction
2 Numerical Calculations
3 Stability of the Linearized Scheme
4 Numerical Results and Discussion
5 Conclusion
References
Kinks-Antikinks Dynamics of Nonlinear DNA Molecules
1 Introduction
2 Theoretical Background
3 Discussion
References
Nonlinear Vibration Response and Dynamic Control of Piezolaminated Plates Under Electromechanical Actuation
1 Introduction
2 Methodology and Formulation
2.1 FE Based Displacement Model
2.2 Strain and Displacements
2.3 Constitutive Equation and Derivations
2.4 Displacement and Strain Relation
2.5 Stiffness Matrix Constituents and Equations
2.6 Equation of Free Vibration
3 Results and Discussion
3.1 Linear and Non-linear Dynamic Response of Piezolaminated Composite Plate
4 Conclusion
References
Synchronisation Scenario and Emergence of Spatial Chimeras in 2D Lattice
1 Introduction
2 The Model
3 The Synchronisation Pattern
4 Emergence of Spatial Chimeras
5 The Energy Aspects
6 Conclusion
References
Semi-Analytical Solution for Condensing Coagulation and Lifshitz-Slyozov Models: Variational Iteration Method
1 Introduction
2 A Quick Review of Iterative Scheme: VIM
3 Convergence Analysis
4 Numerical Implementation
5 Lifshitz-Slyozov Model
6 Conclusion
References
Semi-analytical Solutions for Breakage and Aggregation-Breakage Equations via Daftardar-Jafari Method
1 Introduction
2 Iterative Method
3 Numerical Implementation for Breakage
4 Numerical Results for ABE
5 Conclusions
References
Steady State Fluctuations in a 3D Particle Model Out of Equilibrium
1 Introduction
2 The 3D Particle Model
2.1 Definitions of the Observables
2.2 Theoretical Characterization of the Steady States
3 The Interface Equation
4 Numerical Simulations
5 Conclusions
References
Complex Invariants Corresponding Non-hermitian PT-Symmetric Hamiltonian
1 Introduction
2 Rationalization Method
2.1 First Example
2.2 Second Example
2.3 Conclusion
References
Soliton Dynamics in Metamaterial with Higher Order Nonlinear Phenomena
1 Introduction
2 Mathematical Model
3 Results and Discussion
3.1 Generation of Soliton
3.2 Interaction Dynamics
4 Conclusion
References
Dynamic Analysis of a New Chaotic System with Multistability, Amplitude and Offset Boosting Control, Its Adaptive Synchronization
1 Introduction
2 Description of New Chaotic System
3 Dynamic Analysis and Multistability
4 Complete Amplitude Control
5 Offset Boosting Control
6 Adaptive Synchronization of the Proposed System
7 Conclusions
References
The Effect of Self-defocusing Nonlinearity on the Eigenmodes of PT-Symmetric Single System with k-Wavenumber Scarf II Barrier Potential
1 Introduction
2 Theoretical Model
3 Linear System
4 Nonlinear System
5 Linear Stability Analysis
6 Propagation of the Fundamental Nonlinear Mode
7 Conclusion
References
Symmetry Analysis and Solutions of Fractional Simplified Kawahara Equation
1 Introduction
2 Lie Symmetry and Reductions of SMK Equation
2.1 Analysis of Ordinary Eq. (17)
3 Methdology
3.1 FG-Expansion Method ch55RO9
4 Wave Solution of Reduced ODE Using FG-Expansion Method
5 Analysis and Discussions
6 Concluding Remarks
References
Author Index

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