Supported by National Natural Science Foundation of China under Grant Nos.11771186 and 11671177
We present an integrable sl(2)-matrix Camassa-Holm(CH)equation.The integrability means that the equation possesses zero-curvature representation and infinitely many conservation laws.This equation includes two undeter...
Supported by the National Natural Science Foundation of China under Grant No.11261037;the Natural Science Foundation of Inner Mongolia Autonomous Region under Grant No.2014MS0111;the Caoyuan Yingcai Program of Inner Mongolia Autonomous Region under Grant No.CYYC2011050;the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region under Grant No.NJYT14A04
We study the multi-peakon solutions for two new coupled Camassa–Holm equations, which include twocomponent and three-component Camassa–Holm equations. These multi-peakon solutions are shown in weak sense. In particu...
Supported by National Natural Science Foundation of China under Grant Nos.11361017,11161013;Natural Science Foundation of Guangxi under Grant Nos.2012GXNSFAA053003,2013GXNSFAA019010;Program for Innovative Research Team of Guilin University of Electronic Technology
In this paper, we study peakon, cuspon, smooth soliton and periodic cusp wave of the generalized Schr6dinger-Boussinesq equations. Based on the method of dynamical systems, the generalized Schr6dinger-Boussinesq equat...
Supported by the National Science Foundation of China under Grant No. 11071092;the Texas Norman Hackerman Advanced Research Program under Grant No. 003599-0001-2009
In this paper,the supersymmetric Camassa-Holm equation and Degasperis-Procesi equation are derived from a general superfield equations by choosing different parameters.Their peakon-type solutions are shown in weak sen...
Supported by the Nationai Basic Research Program of China (973 program) under Grant No. 2007CB814800;the National Science Foundation of China under Grant Nos. 10801083 and 10901090
Regarded as the integrable generalization of Camassa-Holm (CH) equation, the CH equation with selfconsistent sources (CHESCS) is derived. The Lax representation of the CHESCS is presented. The conservation laws for CH...
Supported by National Natural Science Foundation of China under Grant Nos. 10671156 and 10671153
A new three-component Camassa-Holm equation is introduced. This system is endowed with a structuresimilar to the Camassa-Holm equation. It has peakon solitons and conserves H^1-norm conservation law.
The project supported by the Natural Science Foundation of Zhejiang Province under Grant No.Y604106;the Natural Science Foundation of Zhejiang Lishui University under Grant No.KZ05010
By means of an extended mapping approach and a linear variable separation approach,a new family ofexact solutions of the general (2+1)-dimensional Korteweg de Vries system (GKdV) are derived.Based on the derivedsolita...
Starting from the variable separation solution obtained by using the extended homogenous balance method,a new class of combined structures, such as multi-peakon and multi-dromion solution, multi-compacton and multidro...
Starting from the known variable separation excitations of a(2 + 1)-dimensional generalized Ablowitz-Kaup-Newell-Segur system,rich coherent structures can be derived.The interactions among different types of solitary ...
By the use of the extended homogenous balance method,the B(?)cklund transformation for a (2+1)- dimensional integrable model,the(2+1)-dimensional Nizhnik-Novikov-Veselov (NNV) equation,is obtained,and then the NNV equ...