Exact Traveling Wave Solutions for an Integrable Nonlinear Evolution Equation Given by M. Wadati
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摘要: 用平面动力系统方法研究由M.Wadati提出的一类可积非线性发展方程的精确行波解,获得了该方程的扭波、反扭波解,周期波解和不可数无穷多光滑孤立波解的精确的参数表达式,以及上述解存在的参数条件.Abstract: By using the method of dynamical systems,the travelling wave solutions of for an integrable nonlinear evolution equation was studied.Exact explicit parametric representations of kink and anti-kink wave solutions,periodic wave solutions and uncountably infinite many smooth solitary wave solutions are given.
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