The Riemann-Hilbert approach for the focusing Hirota equation with single and double poles
DOI10.1007/s13324-021-00522-3zbMath1470.35249OpenAlexW3142048112WikidataQ114220041 ScholiaQ114220041MaRDI QIDQ2030278
Jin-Jie Yang, Shou-Fu Tian, Xiaofan Zhang
Publication date: 7 June 2021
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13324-021-00522-3
soliton solutionsRiemann-Hilbertzero boundary conditionsingle and double zerosthe focusing Hirota equation
Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15) Inverse problems for integral equations (45Q05)
Related Items (7)
Cites Work
- Unnamed Item
- Initial-boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method
- Long-time asymptotic for the Hirota equation via nonlinear steepest descent method
- 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
- Solitons and rogue waves of the quartic nonlinear Schrödinger equation by Riemann-Hilbert approach
- Focusing and defocusing Hirota equations with non-zero boundary conditions: inverse scattering transforms and soliton solutions
- Inverse scattering transforms and soliton solutions of focusing and defocusing nonlocal mKdV equations with non-zero boundary conditions
- Exact solutions of the Hirota equation and vortex filaments motion
- Riemann-Hilbert approach and \(N\)-soliton solutions for a generalized Sasa-Satsuma equation
- On the blow up phenomenon of the critical nonlinear Schrödinger 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
- Nonlinear Waves in Integrable and Nonintegrable Systems
- 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
- Direct and inverse scattering transforms with arbitrary spectral singularities
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- Higher-Order Solitons in the N-Wave System
- On the focusing non-linear Schrödinger equation with non-zero boundary conditions and double poles
- Initial-boundary value problems of the coupled modified Korteweg–de Vries equation on the half-line via the Fokas method
- General soliton matrices in the Riemann–Hilbert problem for integrable nonlinear equations
- Integrable properties of the general coupled nonlinear Schrödinger equations
- Inverse scattering transform for the focusing nonlinear Schrödinger equation with nonzero boundary conditions
- Exact envelope-soliton solutions of a nonlinear wave equation
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