Long-time asymptotics for the Sasa-Satsuma equation via nonlinear steepest descent method

2018/01/18 by Boling Guo, Nan Liu, Guo, Boling +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Algebraic and Geometric Analysis #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1801.06420

openalex publication_date 2018/01/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We formulate a 3×3 Riemann-Hilbert problem to solve the Cauchy problem for the Sasa-Satsuma equation on the line, which allows us to give a representation for the solution of Sasa-Satsuma equation. We then apply the method of nonlinear steepest descent to compute the long-time asymptotics of the Sasa-Satsuma equation.

Citations

• New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
• Nonlinear pulse propagation in a monomode dielectric guide
• Soliton Solution, Bäcklund Transformation, and Conservation Laws for the Sasa-Satsuma Equation in the Optical Fiber Communications
• The Nonlinear Steepest Descent Method to Long-Time Asymptotics of the Coupled Nonlinear Schrödinger Equation
• Long-time asymptotics for the derivative nonlinear Schrödinger equation on the half-line

Related

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