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On the Study of Singular Nonlinear Traveling Wave Equations: Dynamical System Approach Author(s): Jibin Li Huihui Dai Publisher: Science Press Published Date: 2007 ISBN: 978-7-03-018835-9 Pages: 243 Language: English Type: Book Cover: Hard Cover Our Price: $37.40   Avail: In-Stock Description The aim of this book is to give a more systematic account for the bifurcation theory method of dynamical systems to find traveling wave solutions with an emphasis on singular waves and understand their dynamics for some classes of the well-posedness of nonlinear partial differential equations. Main Contents Chapter1 Traveling Wave Equations of Some Physical Models Chapter2 Basic Mathematical Theory of the Singular Traveling Wave Systems Chapter3 Bifurcations of Traveling Wave Solutions of Nonlinear Elastic Rod Systems Chapter4 Bifurcations of Traveling Wave Solutions of Generalized Camassa-Holm Equation Chapter5 Bifurcations of Traveling Wave Solutions of Higher Order Korteweg-De Vries Equations Chapter6 The Bifurcations of the Traveling Wave Solutions of K(m,n) Equation Chapter7 Kink Wave Solution Determined by a Parabola Solution of Planar Dynamical Systems Chapter8 Traveling Wave Solutions of Coupled Nonlinear Wave Equations Chapter9 Solitary Waves and Chaotic Behavior for a Class of Coupled Field Equations Chapter10 Bifurcations of Breather Solutions of Some Nonlinear Wave Equations Chapter11 Bounded Solutions of (n+1)-Dimensional Sine- and Sinh-Gordon Equations Chapter12 Exact Explicit Traveling Wave Solutions for Two Classes of (n+1)-Dimensional Nonlinear Wave Equations References

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