Algebro-geometric integration of the Hirota equation and the Riemann-Hilbert problem
From MaRDI portal
Publication:6664563
DOI10.1016/S0034-4877(24)00085-5MaRDI QIDQ6664563
Publication date: 16 January 2025
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- A Riemann-Hilbert approach to the Harry-Dym equation on the line
- Initial-boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method
- Long-time asymptotic for the derivative nonlinear Schrödinger equation with step-like initial value
- A Riemann-Hilbert problem for the finite-genus solutions of the KdV equation and its numerical solution
- Planar unimodular Baker-Akhiezer function for the nonlinear Schrödinger equation
- On the dressing method for the generalised Zakharov-Shabat system
- A dressing method in mathematical physics.
- Long-time asymptotic for the Hirota equation via nonlinear steepest descent method
- Long-time asymptotics for the Toda lattice in the soliton region
- Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
- Long-time asymptotics for the Hirota equation on the half-line
- Riemann-Hilbert problems and \(N\)-soliton solutions for a coupled mKdV system
- Inverse scattering transform and soliton classification of the coupled modified Korteweg-de Vries equation
- Riemann-Hilbert approach to the modified nonlinear Schrödinger equation with non-vanishing asymptotic boundary conditions
- Multiple-high-order pole solutions for the NLS equation with quartic terms
- Exotic localized vector waves in a two-component nonlinear wave system
- The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves
- Exact solutions of the Hirota equation and vortex filaments motion
- A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
- Riemann-Hilbert approach and \(N\)-soliton solutions for a generalized Sasa-Satsuma equation
- The unified transform method for the Sasa-Satsuma equation on the half-line
- Riemann-Hilbert approach and N-soliton formula for coupled derivative Schrödinger equation
- Focusing NLS Equation: Long-Time Dynamics of Step-Like Initial Data
- The Darboux transformation of the derivative nonlinear Schrödinger equation
- Long-time asymptotic behavior for the Gerdjikov-Ivanov type of derivative nonlinear Schrödinger equation with time-periodic boundary condition
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- An extension of the steepest descent method for Riemann-Hilbert problems: The small dispersion limit of the Korteweg-de Vries (KdV) equation
- Initial-boundary value problems of the coupled modified Korteweg–de Vries equation on the half-line via the Fokas method
- Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
- The N‐coupled higher‐order nonlinear Schrödinger equation: Riemann‐Hilbert problem and multi‐soliton solutions
- Integrable properties of the general coupled nonlinear Schrödinger equations
- Generalized Hirota's bilinear equations and their soliton solutions
- Exact envelope-soliton solutions of a nonlinear wave equation
- Integrable Hamiltonian hierarchies. Spectral and geometric methods
- Riemann–Hilbert approach for discrete sine‐Gordon equation with simple and double poles
This page was built for publication: Algebro-geometric integration of the Hirota equation and the Riemann-Hilbert problem
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6664563)