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Explicit Traveling Wave Solutions to Nonlinear Evolution Equations
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作者 Linghai ZHANG 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2011年第6期929-964,共36页
First of all,some technical tools are developed.Then the author studies explicit traveling wave solutions to nonlinear dispersive wave equations,nonlinear dissipative dispersive wave equations,nonlinear convection equ... First of all,some technical tools are developed.Then the author studies explicit traveling wave solutions to nonlinear dispersive wave equations,nonlinear dissipative dispersive wave equations,nonlinear convection equations,nonlinear reaction diffusion equations and nonlinear hyperbolic equations,respectively. 展开更多
关键词 explicit traveling wave solutions Nonlinear partial differential eauations Reduction of order
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Exact traveling wave solutions and dynamical behavior for the (n+1)-dimensional multiple sine-Gordon equation 被引量:6
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作者 Ji-bin LI Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China Kunming University of Science and Technology, Kunming 650093, China 《Science China Mathematics》 SCIE 2007年第2期153-164,共12页
Using the methods of dynamical systems for the (n + 1)-dimensional multiple sine-Gordon equation, the existences of uncountably infinite many periodic wave solutions and breaking bounded wave solutions are obtained. F... Using the methods of dynamical systems for the (n + 1)-dimensional multiple sine-Gordon equation, the existences of uncountably infinite many periodic wave solutions and breaking bounded wave solutions are obtained. For the double sine-Gordon equation, the exact explicit parametric representations of the bounded traveling solutions are given. To guarantee the existence of the above solutions, all parameter conditions are determined. 展开更多
关键词 nonlinear wave BIFURCATION exact explicit traveling wave solution double sine-Gordon equation multiple sine-Gordon equation 35B10 35L70 35Q51
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