The Riemann–Hilbert approach to the generalized second-order flow of three-wave hierarchy
DOI10.1080/00036811.2021.1906414zbMath1497.35415OpenAlexW3143256025WikidataQ114101879 ScholiaQ114101879MaRDI QIDQ5037941
Publication date: 29 September 2022
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2021.1906414
\(N\)-soliton solutionprolongation techniqueRiemann-Hilbert methodsecond-order flowthree-wave hierarchy
Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Volterra integral equations (45D05) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08)
Related Items
Cites Work
- Integrability and bright soliton solutions to the coupled nonlinear Schrödinger equation with higher-order effects
- Rogue waves in the ocean
- A dressing method in mathematical physics.
- The generating operator for the n \(\times n\) linear system
- Nonlinear Schrödinger equations and simple Lie algebras
- Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
- A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
- The inverse scattering transform and soliton solutions of a combined modified Korteweg-de Vries equation
- Riemann-Hilbert problems and \(N\)-soliton solutions for a coupled mKdV system
- Mathematical view with observational/experimental consideration on certain \((2+1)\)-dimensional waves in the cosmic/laboratory dusty plasmas
- Application of the Riemann-Hilbert approach to the multicomponent AKNS integrable hierarchies
- Riemann-Hilbert problems of a six-component mKdV system and its soliton solutions
- Water-wave symbolic computation for the Earth, Enceladus and Titan: the higher-order Boussinesq-Burgers system, auto- and non-auto-Bäcklund transformations
- Dark-bright semi-rational solitons and breathers for a higher-order coupled nonlinear Schrödinger system in an optical fiber
- Inverse scattering transformation for generalized nonlinear Schrödinger equation
- Chaotic breathers and breather fission/fusion for a vector nonlinear Schrödinger equation in a birefringent optical fiber or wavelength division multiplexed system
- Riemann-Hilbert problems and soliton solutions for a multi-component cubic-quintic nonlinear Schrödinger equation
- Long-time asymptotics for the Fokas-Lenells equation with decaying initial value problem: without solitons
- A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
- The extended Estabrook-Wahlquist method
- Lie algebras responsible for zero-curvature representations of scalar evolution equations
- Riemann-Hilbert approach and \(N\)-soliton solutions for a generalized Sasa-Satsuma equation
- Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
- Nonlinear Waves in Integrable and Nonintegrable Systems
- Scattering and inverse scattering for first order systems
- Prolongation structures of nonlinear evolution equations
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- Method for Solving the Korteweg-deVries Equation
- Fermionic covariant prolongation structure theory for a (2+1)-dimensional super nonlinear evolution equation
- Integrable properties of the general coupled nonlinear Schrödinger equations
- Integrals of nonlinear equations of evolution and solitary waves
- Introduction to Lie Algebras and Representation Theory
- Generalized Darboux Transformations, Rogue Waves, and Modulation Instability for the Coherently Coupled Nonlinear Schrödinger Equations in Nonlinear Optics
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item