文献类型：期刊文献

中文题名：Interactions between Solitons and Cnoidal Periodic Waves of the Gardner Equation

英文题名：Interactions between Solitons and Cnoidal Periodic Waves of the Gardner Equation

作者：余炜沣[1,2];楼森岳[1,3];俞军[2];胡瀚玮[4]

机构：[1]Ningbo Univ, Fac Sci, Ningbo 315211, Zhejiang, Peoples R China;[2]Shaoxing Univ, Dept Phys, Shaoxing 312000, Peoples R China;[3]E China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai 200062, Peoples R China;[4]Beilun Minggang High Sch, Dept Phys, Ningbo 315211, Zhejiang, Peoples R China

年份：2014

期号：7

起止页码：9

中文期刊名：中国物理快报：英文版

外文期刊名：Chinese Physics Letters

收录：SCI-EXPANDED(收录号：WOS:000338982800003)、CSTPCD、、EI(收录号：20220711657984)、Scopus(收录号：2-s2.0-84903954105)、WOS、CSCD、CSCD2013_2014

基金：Supported by the National Natural Science Foundation of China under Grant Nos 11175092, 11275123, 11205092 and 10905038, the Shanghai Knowledge Service Platform for Trustworthy Internet of Things under Grant No ZF1213, Talent Fund in Ningbo University, and the K. C. Wong Magna Fund in Ningbo University.

语种：中文

中文关键词：Riccati方程;椭圆余弦波;相互作用;孤子;周期波;非线性物理学;非线性激励;非线性激发

外文关键词：Nonlinear equations - Riccati equations

中文摘要：加德纳方程是在非线性的物理的最重要的 prototypic 模型之一。许多学者对加德纳方程和加德纳方程的各种各样的非线性的刺激给予许多注意被许多方法发现了。然而，在非线性的刺激的不同类型之中发现相互作用答案是很困难的。在这个工作，在 Riccati 方程的帮助下，加德纳方程被一致 Riccati 扩大解决。而且，我们获得加德纳方程的 soliton-cnoidal 波浪相互作用答案。

外文摘要：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.