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Kadomtsov-Petviashvili-Benjamin-Bona-Mahony方程的扭波解
引用本文:蔡炯辉,侯雪炯.Kadomtsov-Petviashvili-Benjamin-Bona-Mahony方程的扭波解[J].玉溪师范学院学报,2009,25(8).
作者姓名:蔡炯辉  侯雪炯
作者单位:玉溪师范学院理学院数学系,云南玉溪,653100
摘    要:用动力系统分支理论和数值模拟方法研究3阶KP-BBM方程的扭波,给出了扭波的存在条件,得到了扭波解.从数值模拟的结果看,和其理论分析所得到的结果是相一致的.

关 键 词:KP-BBM方程  分支方法  扭波解

The Kink Wave Solutions of the Kadomtsov-Petviashvili-Benjamin-Bona-Mahony Equation
CAI Jionghui,HOU Xuejiong.The Kink Wave Solutions of the Kadomtsov-Petviashvili-Benjamin-Bona-Mahony Equation[J].Journal of Yuxi Teachers' College,2009,25(8).
Authors:CAI Jionghui  HOU Xuejiong
Institution:(School of Science; Yuxi Normal University; Yuxi; Yunnan 653100);
Abstract:The bifurcation theory of dynamical systems and numerical simulation method are employed to investigate the kink waves of a nonlinear cubic KP-BBM equation.The parameter conditions that the kink waves appear are found,and their solutions are obtained.The numerical simulation and qualitative results are identical.
Keywords:KP-BBM equation  bifurcation methods  kink wave solution
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