第一个书签之前
Declaration of Authorship
Acknowledgements
Abstract
空白页面
List of Publications
Overview of the Thesis
Introduction
Historical Background and Literature Review
Standing of wave motion in pre solitons era
Traveling wave solutions
The soliton and solitary waves phenomena
Solitons and solitary waves in different areas
Soliton in fiber optics
Soliton in biology
Soliton in magnets
Soliton in bions
Soliton in radiation
Solitary waves and solitons in colloidal media
Kind of solutions
Bright soliton
Dark soliton
Kink and anti-kink soliton
Vector soliton
Jacobi elliptic function solution
Preliminary Knowledge and Description of Methods
Direct algebraic method
Proposed modified extended DAM
Homogeneous balance principle
Proposed simple equation method
Stability analysis of solution
Traveling Wave Solutions of Drinfel’d–Sokolov–Wilson Equation and Whitham –Broer–Kaup Equation
Introduction
Applications of proposed modified extended DAM
The Drinfel'd-Sokolov-Wilson equation
The Whitham-Broer-Kaup equation
Conclusion
Stability Analysis of Solitary Wave Solutions of (3+1)-dimensional Nonlinear EZK Equation and mKdV-ZK Equation
Introduction
Application of the proposed modified extended DAM
The Extended Zakharov-Kuznetsov (EZK) equation
The (3+1)-dimensional modified KdV-ZK equation
Stability analysis
Modulation stability of three-dimensional EZK equation
Modulation stability of (3+1)-dimensional mKdV-ZK equation
Conclusion
Stability Analysis of Traveling Wave Solutions of New Coupled KdV System and New Coupled Z-K System
Introduction
Applications of modified extended DAM
The new coupled KdV system
The new coupled ZK system
Stability analysis
Modulation stability of new coupled KdV system
Modulation stability of new coupled ZK system
Conclusion
Solitary Wave Solutions of the Higher-Order Nonlinear Schr?dinger Equation and Its Stability
Introduction
Application of description of proposed methods on higher order nonlinear Schr?dinger equation
Application of proposed simple equation method
Application of modified extended DAM
Stability analysis
Results and discussions
Conclusion
Conclusions
Summary of the research
江苏大学;
Nonlinear Wave; Solutions; Stability Analysis; and; Structure;
