Long-time asymptotics for the higher-order coupled nonlinear Schrödinger system
Abstract
Abstract In this paper, we study the Cauchy problem for the higher-order coupled nonlinear Schr o ̈ dinger system. Based on the Rieamnn-Hilbert problem characterization for the Cauchy problem, we apply the ∂ ¯ -steepest descent method to obtain the leading-order terms for long-time asymptotics of the higher-order coupled nonlinear Schr o ̈ dinger system with 4 × 4 Lax pair.
Fields of Study & Subjects
Nonlinear Waves and Solitons
Advanced Mathematical Physics Problems
Numerical methods for differential equations
Publication details
- Journal / source
- Physica Scripta
- Volume
- 101
- Issue
- 3
- Pages
- 037001–037001
- Publication date
- 13 January 2026