학술논문
Riemann–Hilbert approach to two-component modified short-pulse system and its nonlocal reductions.
Document Type
Article
Author
Source
Subject
*CAUCHY problem
*GEOGRAPHIC boundaries
*SPACETIME
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*
Language
ISSN
1054-1500
Abstract
In this paper, a Riemann–Hilbert approach to a two-component modified short-pulse (mSP) system on the line with zero boundary conditions is developed. A parametric representation of the solution to the related Cauchy problem is obtained. Four nonlocal integrable reductions, namely, the real reverse space-time nonlocal focusing and defocusing mSP equations and the complex reverse space-time nonlocal focusing and defocusing mSP equations, are studied in detail. For each case, soliton solutions are presented, and, unlike their local counterparts, the nonlocal equations exhibit certain novel properties induced by the impact of nonlocality. [ABSTRACT FROM AUTHOR]