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Exact Solitary-wave Solutions and Periodic Wave Solutions for Generalized Modified Boussinesq Equation and the Effect of Wave Velocity on Wave Shape

Exact Solitary-wave Solutions and Periodic Wave Solutions for Generalized Modified Boussinesq Equation and the Effect of Wave Velocity on Wave Shape
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摘要 By means of the undetermined assumption method, we obtain some new exact solitary-wave solutions with hyperbolic secant function fractional form and periodic wave solutions with cosine function form for the generalized modified Boussinesq equation. We also discuss the boundedness of these solutions. More over, we study the correlative characteristic of the solitary-wave solutions and the periodic wave solutions along with the travelling wave velocity＇s variation. By means of the undetermined assumption method, we obtain some new exact solitary-wave solutions with hyperbolic secant function fractional form and periodic wave solutions with cosine function form for the generalized modified Boussinesq equation. We also discuss the boundedness of these solutions. More over, we study the correlative characteristic of the solitary-wave solutions and the periodic wave solutions along with the travelling wave velocity＇s variation.
作者 Wei-guo Zhang Shao-wei Li Wei-zhong Tian Lu Zhang
机构地区 College of Science University of Shanghai for Science and Technology School of mathematics and information engineering
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2008年第4期691-705,共15页 应用数学学报（英文版）
基金 Supported by the Shanghai Leading Academic Discipline Project(No.T0502) the Science Foundation of the Education Commission of Shanghai(No.07ZZ83).
关键词 Generalized modified Boussinesq equation exact solitary-wave solution periodic wave solution Generalized modified Boussinesq equation, exact solitary-wave solution, periodic wave solution
分类号 O1 [理学—基础数学]
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参考文献11

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Acta Mathematicae Applicatae Sinica
2008年 第4期

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