N-SOLITON SOLUTION OF THE KUNDU-TYPE EQUATION VIA RIEMANN-HILBERT APPROACH  

作　　者：Lili WEN Ning ZHANG Engui FAN 温丽丽;张宁;范恩贵(School of Mathematical Sciences,Fudan University,Shanghai 200433,China;Department of Basic Courses,Shandong University of Science and Technology,Taian 266510,China)

机构地区：[1]School of Mathematical Sciences,Fudan University,Shanghai 200433,China [2]Department of Basic Courses,Shandong University of Science and Technology,Taian 266510,China

出　　处：《Acta Mathematica Scientia》2020年第1期113-126,共14页数学物理学报（B辑英文版）

基　　金：supported by the National Science Foundation of China(11671095,51879045,11805114)。

摘　　要：In this article, we focus on investigating the Kundu-type equation with zero boundary condition at infinity. Based on the analytical and symmetric properties of eigenfunctions and spectral matrix of its Lax pair, a Riemann-Hilbert problem for the initial value problem of the Kundu-type equation is constructed. Further through solving the regular and nonregular Riemann-Hilbert problem, a kind of general N-soliton solution of the Kundu-type equation are presented. As special cases of this result, the N-soliton solution of the Kaup-Newell equation, Chen-Lee-Liu equation, and Gerjikov-Ivanov equation can be obtained respectively by choosing different parameters.

关 键 词：the Kundu-type EQUATION LAX PAIR RIEMANN-HILBERT problem SOLITON solution 

分 类 号：O175.29[理学—数学]