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二维RLW方程和二维SRLW方程的显式精确解
引用本文:尚亚东,钮鹏程.二维RLW方程和二维SRLW方程的显式精确解[J].应用数学,1998,11(3):1-5.
作者姓名:尚亚东  钮鹏程
作者单位:西北工业大学!西安,710072
基金项目:航空高等院校自选科研课题
摘    要:本文讨论了二维RLW方程和二维SRLW方程孤立波解的性态,通过直接积分的方法求出了这两个方程的显式精确孤立波解,并通过选取初始条件的方法求出了二维RLW方程和二维SRLW方程的另一类精确行波解.

关 键 词:RLW方程  SRLW方程  精确解  孤立波解  行波解

Explicit Exact Solutions for the RLW Equation and the SRLW Equation in two Space Dimensions
Shang Yadong.Explicit Exact Solutions for the RLW Equation and the SRLW Equation in two Space Dimensions[J].Mathematica Applicata,1998,11(3):1-5.
Authors:Shang Yadong
Abstract:In this paper, the properties of solitary wave solutions of the two dimensional RLW equation and two dimensional SRLW equation are discussed. Meantime, the explicit exact solitary wave solutions of these two equations are obtained by direct integral method, and a class of travelling wave solutions of the twodimensional RLW equation and the twodimensional SRLW equation are obtained by choosing Initial conditions.
Keywords:RLW equation  SRLW equation  Exact solution  Solitary wave solution  travelling wave solution
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