科研之友
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摘要
A method is proposed to construct nontraveling wave solution for (1+1)-dimensional evolution equations by extending the linear traveling wave transformation of the (G'/G)-expansion method into a nonlinear transformation. Owing to a built-in arbitrary function included in the solution, abundant solutions can be excited. Taking the Vakhnenko equation as an example, a series of nontraveling wave solutions with variable separation is obtained. Some new solutions are excited, and the known solitary wave solutions are special cases of the nontraveling wave solutions. 2010 American Institute of Physics. [doi:10.1063/1.3431034]
- 出版日期2010-6
- 单位北京工商大学; 中国矿业大学（北京）
