Homoclinic Breather-Wave with Convective Effect for the (1+1)-Dimensional Boussinesq Equation
DAI Zheng-De1,3, XIAN Da-Quan2, LI Dong-Long3
1School of Mathematics and Physics, Yunnan University, Kunming 6500912School of Science, Southwest University of Science and Technology, Mianyang 6210103Department of Information and Computing Science, Guangxi Institute of Technology, Liuzhou 545005
Homoclinic Breather-Wave with Convective Effect for the (1+1)-Dimensional Boussinesq Equation
DAI Zheng-De1,3, XIAN Da-Quan2, LI Dong-Long3
1School of Mathematics and Physics, Yunnan University, Kunming 6500912School of Science, Southwest University of Science and Technology, Mianyang 6210103Department of Information and Computing Science, Guangxi Institute of Technology, Liuzhou 545005
摘要 A new type of two-wave solution, i.e. a homoclinic breather-wave solution with convective effect, for the (1+1)-dimensional Boussinesq equation is obtained using the extended homoclinic test method. Moreover, the mechanical feature of the wave solution is investigated and the phenomenon of homoclinic convection of the two-wave is exhibited on both sides of the equilibrium. These results enrich the dynamical behavior of (1+1)-dimensional nonlinear wave fields.
Abstract： A new type of two-wave solution, i.e. a homoclinic breather-wave solution with convective effect, for the (1+1)-dimensional Boussinesq equation is obtained using the extended homoclinic test method. Moreover, the mechanical feature of the wave solution is investigated and the phenomenon of homoclinic convection of the two-wave is exhibited on both sides of the equilibrium. These results enrich the dynamical behavior of (1+1)-dimensional nonlinear wave fields.
DAI Zheng-De; XIAN Da-Quan;LI Dong-Long. Homoclinic Breather-Wave with Convective Effect for the (1+1)-Dimensional Boussinesq Equation[J]. 中国物理快报, 2009, 26(4): 40203-040203.
DAI Zheng-De, XIAN Da-Quan, LI Dong-Long. Homoclinic Breather-Wave with Convective Effect for the (1+1)-Dimensional Boussinesq Equation. Chin. Phys. Lett., 2009, 26(4): 40203-040203.
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2009, Vol. 26 
