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New exact homoclinic wave and periodic wave solutions for the Ginzburg-Landau equation
Authors:Zitian Li
Institution:College of Mathematics and Information Science, Qujing Normal University, Qujing 655011, PR China
Abstract:New exact solutions including homoclinic wave and periodic wave solutions for the 2D Ginzburg-Landau equation are obtained using the auxiliary function method and the View the MathML source-expansion method, respectively. The solutions are expressed by the hyperbolic functions and the trigonometric functions. There result shows that there exists a kink wave solution which tends to one and the same periodic wave solution as time tends to infinite.
Keywords:Ginzburg-Landau equation  _method=retrieve&  _eid=1-s2  0-S009630030900616X&  _mathId=si2  gif&  _pii=S009630030900616X&  _issn=00963003&  _acct=C000054348&  _version=1&  _userid=3837164&  md5=854f52ac81a999beab9ea07b73be17b9')" style="cursor:pointer  View the MathML source" alt="Click to view the MathML source" title="Click to view the MathML source">View the MathML sourcesciencedirect  com/content/image/1-s2  0-S009630030900616X-si2  -expansion method" target="_blank">gif">-expansion method  Auxiliary function method  Periodic wave  Homoclinic
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