Interactions between Solitons and Cnoidal Periodic Waves of the Gardner Equation
Interactions between Solitons and Cnoidal Periodic Waves of the Gardner Equation
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DOI：
10.1088/0256-307x/31/7/070203
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发表时间：
2014-07
影响因子：
3.5
通讯作者：
Wei-Feng Yu-;Wei-Feng Yu-;S. Lou;S. Lou;Jun Yu;Hanwei Hu
中科院分区：
文献类型：
--
作者：
Wei-Feng Yu-;Wei-Feng Yu-;S. Lou;S. Lou;Jun Yu;Hanwei Hu
Gardner方程是非线性物理中最重要的原型模型之一。Gardner方程引起了许多学者的关注，人们通过多种方法找到了Gardner方程的各种非线性激励。然而，很难找到不同类型的非线性激励之间的相互作用的解决方案。本文从Riccati方程出发，用相容Riccati展开法求解Gardner方程。进一步得到了Gardner方程的孤子-椭圆余弦波相互作用解。
The Gardner equation is one of the most important prototypic models in nonlinear physics. Many scholars pay much attention to the Gardner equation and various nonlinear excitations of the Gardner equation have been found by many methods. However, it is very difficult to find interaction solutions among different types of nonlinear excitations. In this work, with the help of the Riccati equation, the Gardner equation is solved by the consistent Riccati expansion. Furthermore, we obtain the soliton-cnoidal wave interaction solutions of the Gardner equation.