(2+1)维广义破裂孤子方程的非局域对称及相互作用解  

Nonlocal symmetries and interaction solutions for the new (2+1) dimensional generalized breaking soliton equation

作　　者：白喜瑞 沃维丰[1] Bai Xirui;Wo Weifeng(Department of Mathematics, Ningbo University, Ningbo 315211, China)

机构地区：[1]宁波大学数学系,浙江宁波315211

出　　处：《纯粹数学与应用数学》2017年第5期536-544,共9页Pure and Applied Mathematics

基　　金：国家自然科学基金(11201249);浙江省自然科学基金(LY16A010002)

摘　　要：根据截断的Painlevé分析展开法及相容Riccati展开(CRE)法,研究了(2+1)维广义破裂孤子方程的非局域对称.利用非局域对称局域化的方法,得到了与Schwarzian变量相对应的对称群.同时,证明了这个方程是CRE可积的,并给出了它的孤立波与椭圆周期波之间的相互作用解.According to the truncated Painlev′e expansion and consistent Riccati expansion(CRE)method,the nonlocal symmetry for the2+1-dimensional generalized breaking soliton equation is derived.Moreover,the symmetry group related to Schwarzian can be obtained by the method of localization.Meanwhile,this equation has been proved to be CRE solvable,and the interaction solutions between solitons and cnoidal waves are given.

关 键 词：(2+1)维广义破裂孤子方程 非局域对称 CRE方法 相互作用解 

分 类 号：O175.2[理学—数学]