Symmetry Reductions, Integrability and Solitary Wave Solutions to High-Order Modified Bous

Symmetry Reductions, Integrability and Solitary

Wave Solutions to High-Order Modified Boussinesq Equations with Damping Term

YAN ZhenYa;XIE FuDing ;ZHANG HongQing

【期刊名称】《理论物理通讯（英文版）》 【年(卷),期】2001(036)007

【摘要】Both the direct method due to Clarkson and Kruskal and the improved direct method due to Lou are extended to reduce the high-order modified Boussinesq equation with the damping term (HMBEDT) arising in the general Fermi-Pasta-Ulam model. As a result, several types of similarity reductions are obtained. It is easy to show that the nonlinear wave equation is not integrable under the sense of AblowRz's conjecture from the reduction results obtained. In addition, kink-shaped solitary wave solutions, which are of important physical significance, are found for HMBEDT based on the obtained reduction equation.`` 【总页数】6页(1-6)

【关键词】modified Boussinesq equation with the damping term;nonlinear

evolution

equation;symmetry

reduction;integrability;solitary wave solution

【作者】YAN ZhenYa;XIE FuDing ;ZHANG HongQing

【作者单位】Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China;Department of Applied Mathematics,