| BIFURCATIONS OF TRAVELLING WAVE SOLUTIONS TO A COUPLED NONLINEAR WAVE SYSTEM |
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| 基金项目： | the Natural Science Foundation of Yunnan Province (2006B0081M). |
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| 摘 要： | Employ theory of bifurcations of dynamical systems to a system of coupled nonlin-ear equations, the existence of solitary wave solutions, kink wave solutions, anti-kink wave solutions and periodic wave solutions is obtained. Under different parametric conditions, various suffcient conditions to guarantee the existence of the above so-lutions are given. Some exact explicit parametric representations of travelling wave solutions are derived.
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BIFURCATIONS OF TRAVELLING WAVE SOLUTIONS TO A COUPLED NONLINEAR WAVE SYSTEM |
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| Authors: | Li Ming Li Xi Huang Yan |
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| Institution: | Dept. of Math.;Qujing Normal Institute;Qujing 655000;Yunnan;Center for Nonlinear Science Studies;Kunming University of Science and Technology;Kunming 650093;Yunnan |
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| Abstract: | Employ theory of bifurcations of dynamical systems to a system of coupled nonlin-ear equations, the existence of solitary wave solutions, kink wave solutions, anti-kink wave solutions and periodic wave solutions is obtained. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above so-lutions are given. Some exact explicit parametric representations of travelling wave solutions are derived. |
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| Keywords: | solitary wave solution kink wave solution anti-kink wave solution |
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