Riemann-Hilbert approach for the complex Sharma-Tasso-Olver equation with high-order poles
DOI10.1007/S12346-024-01053-5zbMATH Open1547.35485MaRDI QIDQ6572424
Publication date: 15 July 2024
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08)
Cites Work
- Bäcklund transformations and abundant exact explicit solutions of the Sharma-Tasso-Olver equation
- Analytic method for solitary solutions of some partial differential equations
- Abundant exact and explicit solitary wave and periodic wave solutions to the Sharma-Tasso-Olver equation
- Symmetries and exact solutions of the Sharma-Tass-Olver equation
- A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
- Uniformly constructing finite-band solutions for a family of derivative nonlinear Schrödinger equations
- Soliton fission and fusion: Burgers equation and Sharma-Tasso-Olver equation
- The Riemann-Hilbert approach for the focusing Hirota equation with single and double poles
- Inverse scattering transform and multiple high-order pole solutions for the Gerdjikov-Ivanov equation under the zero/nonzero background
- Riemann-Hilbert approach for a higher-order Chen-Lee-Liu equation with high-order poles
- Riemann-Hilbert method for the Wadati-Konno-Ichikawa equation: \(N\) simple poles and one higher-order pole
- New solitons and kinks solutions to the Sharma-Tasso-Olver equation
- Do symmetry constraints yield exact solutions?
- A family of completely integrable multi-Hamiltonian systems explicitly related to some celebrated equations.
- Riemann-Hilbert approach and N-soliton formula for coupled derivative Schrödinger equation
- Algebro-geometric solutions for the complex Sharma-Tasso-Olver hierarchy
- Inverse scattering transform for the vector nonlinear Schrödinger equation with nonvanishing boundary conditions
- Nonlinear mode decoupling for classes of evolution equations
- A family of exact travelling wave solutions to nonlinear evolution and wave equations
- Hamiltonian formulation of odd Burgers hierarchy
- Method for Solving the Korteweg-deVries Equation
- A Riemann–Hilbert Approach to Complex Sharma–Tasso–Olver Equation on Half Line *
- Travelling wave solutions to nonlinear evolution and wave equations
- The bound-state soliton solutions of the complex modified KdV equation
- Inverse scattering transform for the focusing nonlinear Schrödinger equation with nonzero boundary conditions
- Double and triple pole solutions for the Gerdjikov–Ivanov type of derivative nonlinear Schrödinger equation with zero/nonzero boundary conditions
- Bound‐state soliton and rogue wave solutions for the sixth‐order nonlinear Schrödinger equation via inverse scattering transform method
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