典型文献
Integrability and Exact Solutions of the(2+1)-dimensional KdV Equation with Bell Polynomials Approach
文献摘要：
In this paper,the bilinear formalism,bilinear B?cklund transformations and Lax pair of the(2+1)-dimensional KdV equation are constructed by the Bell polynomials approach.The N-soliton solution is derived directly from the bilinear form.Especially,based on the two-soliton solution,the lump solution is given out analytically by taking special parameters and using Taylor expansion formula.With the help of the multidi-mensional Riemann theta function,multiperiodic(quasiperiodic)wave solutions for the(2+1)-dimensional KdV equation are obtained by employing the Hirota bilinear method.Moreover,the asymptotic properties of the one-and two-periodic wave solution,which reveal the relations with the single and two-soliton solution,are presented in detail.
文献关键词：
中图分类号：
作者姓名：
Jun-cai PU;Yong CHEN
作者机构：
School of Mathematical Sciences,Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice,East China Normal University,Shanghai 200062,China;College of Mathematics and Systems Science,Shandong University of Science and Technology,Qingdao 266590,China
文献出处：
引用格式：
[1]Jun-cai PU;Yong CHEN-.Integrability and Exact Solutions of the(2+1)-dimensional KdV Equation with Bell Polynomials Approach)[J].应用数学学报（英文版）,2022(04):861-881
A类：
Integrability,multiperiodic
B类：
Exact,Solutions,2+1,dimensional,KdV,Equation,Bell,Polynomials,Approach,this,paper,bilinear,formalism,cklund,transformations,Lax,pair,equation,are,constructed,by,polynomials,approach,soliton,derived,directly,from,Especially,two,lump,given,out,analytically,taking,parameters,using,Taylor,expansion,formula,With,help,multidi,Riemann,theta,function,quasiperiodic,wave,solutions,obtained,employing,Hirota,method,Moreover,asymptotic,properties,one,which,reveal,relations,single,presented,detail
AB值：
0.573359
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