The \(\overline{\partial}\)-dressing method and soliton solutions for the reverse space-time nonlocal Sasa-Satsuma equation
DOI10.1016/j.jmaa.2024.128127MaRDI QIDQ6150505
Publication date: 8 February 2024
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
soliton solutions\(\overline{\partial}\)-dressing methodreverse space-time nonlocal Sasa-Satsuma equation
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Statistical mechanics of magnetic materials (82D40) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Cites Work
- Unnamed Item
- The AB equations and the \(\bar\partial\)-dressing method in semi-characteristic coordinates
- General \(N\)-solitons and their dynamics in several nonlocal nonlinear Schrödinger equations
- A dressing method in mathematical physics.
- The Riemann-Hilbert problem for holonomic systems
- A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
- Integrability and gauge equivalence of the reverse space-time nonlocal Sasa-Satsuma equation
- Riemann-Hilbert problems and \(N\)-soliton solutions for a coupled mKdV system
- Long-time asymptotics and the bright \(N\)-soliton solutions of the Kundu-Eckhaus equation via the Riemann-Hilbert approach
- High-order soliton matrices for Sasa-Satsuma equation via local Riemann-Hilbert problem
- \( \overline{\partial} \)-dressing method for the coupled Gerdjikov-Ivanov equation
- Long-time asymptotics for the focusing Fokas-Lenells equation in the solitonic region of space-time
- Inverse scattering transform and soliton solutions of an integrable nonlocal Hirota equation
- A hierarchy of nonlocal nonlinear evolution equations and \(\overline{\partial} \)-dressing method
- Soliton solutions of an integrable nonlocal modified Korteweg-de Vries equation through inverse scattering transform
- Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
- Nonlocal nonlinear Schrödinger equation and its discrete version: Soliton solutions and gauge equivalence
- Riemann-Hilbert approach and N-soliton formula for coupled derivative Schrödinger equation
- Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions
- On the Inverse Scattering Transform for the Kadomtsev-Petviashvili Equation
- Dynamics of soliton solutions of the nonlocal Kundu-nonlinear Schrödinger equation
- Long-time asymptotic behavior of a mixed Schrödinger equation with weighted Sobolev initial data
- The ∂̄-dressing method and soliton solutions for the three-component coupled Hirota equations