Painlevé asymptotics for the coupled Sasa-Satsuma equation
DOI10.1090/proc/16344zbMath1518.35522MaRDI QIDQ6106045
Zhong-Zhou Lan, Nan Liu, Jia-Dong Yu
Publication date: 27 June 2023
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
asymptoticsnonlinear steepest descent methodcoupled Sasa-Satsuma equationcoupled modified Painlevé II equation
KdV equations (Korteweg-de Vries equations) (35Q53) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Riemann-Hilbert problems in context of PDEs (35Q15) Boundary value problems on infinite intervals for ordinary differential equations (34B40)
Cites Work
- Long-time asymptotics for the initial-boundary value problem of coupled Hirota equation on the half-line
- The nonlinear steepest descent approach for long time behavior of the two-component coupled Sasa-Satsuma equation with a \(5 \times 5\) Lax pair
- Soliton resolution for the focusing modified KdV equation
- Long-time asymptotic behavior for an extended modified Korteweg-de Vries equation
- Asymptotics for the Sasa-Satsuma equation in terms of a modified Painlevé II transcendent
- A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
- Painlevé-type asymptotics of an extended modified KdV equation in transition regions
- Long-time asymptotics for the spin-1 Gross-Pitaevskii equation
- Painlevé-Type Asymptotics for the Camassa–Holm Equation
- New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
- Long-time asymptotics for the Sasa–Satsuma equation via nonlinear steepest descent method
- Binary Darboux transformation for the coupled Sasa-Satsuma equations
- The Riemann–Hilbert Problem and Inverse Scattering
- Application of the Nonlinear Steepest Descent Method to the Coupled Sasa-Satsuma Equation
- Long‐time asymptotic behavior of the fifth‐order modified KdV equation in low regularity spaces
- Airy and Painlevé asymptotics for the mKdV equation
- Asymptotics of solutions to a fifth-order modified Korteweg–de Vries equation in the quarter plane
- Inverse Scattering Transform of the Coupled Sasa–Satsuma Equation by Riemann–Hilbert Approach
- The nonlinear steepest descent method for Riemann-Hilbert problems of low regularity
This page was built for publication: Painlevé asymptotics for the coupled Sasa-Satsuma equation
