TITLE:
New Soliton Solutions to the Initial Value Problem for the Two-Component Short Pulse Equation
AUTHORS:
Yan Luo
KEYWORDS:
Riemann-Hilbert Problem, Two-Component Short Pulse Equation, Soliton Solutions
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.7 No.1,
January
9,
2019
ABSTRACT: 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.