New Soliton Solutions to the Initial Value Problem for the Two-Component Short Pulse Equation  

作　　者：Yan Luo 

机构地区：[1]College of Science, University of Shanghai for Science and Technology, Shanghai, China

出　　处：《Journal of Applied Mathematics and Physics》2019年第1期13-22,共10页应用数学与应用物理（英文）

摘　　要：We formulate a matrix Riemann-Hilbert problem to the initial value problem for the two-component system proposed by Matsuno. By solving the associated Riemann-Hilbert problem, we can get the soliton solutions of the two-component system. One and two soliton solutions are investigated in detail.We formulate a matrix Riemann-Hilbert problem to the initial value problem for the two-component system proposed by Matsuno. By solving the associated Riemann-Hilbert problem, we can get the soliton solutions of the two-component system. One and two soliton solutions are investigated in detail.

关 键 词：RIEMANN-HILBERT Problem TWO-COMPONENT SHORT Pulse EQUATION SOLITON Solutions 

分 类 号：O1[理学—数学]