《奇非線性波方程：分支和精確解（英文版）》是2013年科學出版社出版的圖書，作者是李繼彬。
基本介紹
- 書名：奇非線性波方程：分支和精確解（英文版）
- 作者：李繼彬
- ISBN：9787030379177
- 類別：數學
- 出版社：科學出版社
- 出版時間：2013-06
內容簡介,圖書目錄,
內容簡介
淺水波，非線棄櫻射性光學、電磁學、等離子物理、凝聚態物理、生物及道寒立歸化學、通訊等領域兵主拜均存在非線性波運動。對其數學模型--波方程的解研究有重要價值。上世紀90年代，數學家發捆祖現了行波方程的非光滑的孤粒子解(peakon)、有限支集解(compacton)和圈解(loopsolution)等，為理解這些解，特別是非光滑采肯閥解的出現，導致用動力系統的分支理論及方法對奇行波方程進行研究的新方向。本書介紹兩類奇行波方影提煮榆程擔才甩的研究的動力系統方法，及對大量數學物理問題的套用。
圖書目錄
Preface
Chapter 1 Some Physical Models Which Yield Two Classes of Singular Travelling Wave Systems
Chapter 2 Dynamics of Solutions of Singular Travelling Systems
Chapter 3 Exact Travelling Wave Solutions and Their Bifurcationsfor the Kudryashov-Sinelshchikov Equation
Chapter 4 Bifurcations of Travelling Wave Solutions of Generalized Camassa-Holm Equation(I)
Chapter 5 Bifurcations of Travelling Wave Solutions of Higher Order Korteweg-De Vries Equations
Chapter 6 The Bifurcations of the Travelling Wave Solutions of K(m,n)Equation
Chapter 7 Kink Wave Solutions Determined by a Parabola Solution of Planar Dynamical Systems
Chapter 8 Exact Dark Soliton,Periodic Solutions and Chaotic Dynamics in a Perturbed Generalized Nonlinear Schrodinger Equation
Chapter 9 Bifurcations and Some Exact Travelling Wave Solutions of a Generalized Camassa-Holm Equation(II)
Chapter 10 Bifurcations of Breather Solutions of Some Nonlinear Wave Equations
Chapter 11 Bounded Solutions of(n+1)-dimensional Sine-and Sinh-Gordon Equations
Chapter 12 Exact Loop Solutions and Their Dynamics of Some Nonlinear Wave Equations
Chapter 13 Exact Solitary Wave,Periodic and Quasi-periodic Wave Solutions for the KdV6 Equations
Chapter 14 Exact Travelling Wave Solutions and Their Dynamics for a Class Coupled Nonlinear Wave Equations
Chapter 15 On the Travelling Wave Solutions for a Nonlinear Diffusion-convection Equation
References
Chapter 11 Bounded Solutions of(n+1)-dimensional Sine-and Sinh-Gordon Equations
Chapter 12 Exact Loop Solutions and Their Dynamics of Some Nonlinear Wave Equations
Chapter 13 Exact Solitary Wave,Periodic and Quasi-periodic Wave Solutions for the KdV6 Equations
Chapter 14 Exact Travelling Wave Solutions and Their Dynamics for a Class Coupled Nonlinear Wave Equations
Chapter 15 On the Travelling Wave Solutions for a Nonlinear Diffusion-convection Equation
References
