Back to Search
Start Over
Riemann–Hilbert approach to two-component modified short-pulse system and its nonlocal reductions.
- Source :
- Chaos; Sep2022, Vol. 32 Issue 9, p1-17, 17p
- Publication Year :
- 2022
-
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]
- Subjects :
- CAUCHY problem
GEOGRAPHIC boundaries
SPACETIME
Subjects
Details
- Language :
- English
- ISSN :
- 10541500
- Volume :
- 32
- Issue :
- 9
- Database :
- Complementary Index
- Journal :
- Chaos
- Publication Type :
- Academic Journal
- Accession number :
- 159444583
- Full Text :
- https://doi.org/10.1063/5.0088293