Higher-order mixed solution and breather solution on a periodic background for the Kundu equation
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Publication:2685814
DOI10.1016/j.cnsns.2023.107134OpenAlexW4317754237MaRDI QIDQ2685814
Publication date: 23 February 2023
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2023.107134
NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)
Cites Work
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- Generalized Darboux transformation and rational soliton solutions for Chen-Lee-Liu equation
- On rogue wave in the Kundu-DNLS equation
- Darboux transformation and explicit solutions for two integrable equations
- Darboux transformation and \(N\)-soliton solutions for a more general set of coupled integrable dispersionless system
- Higher-order rational solitons and rogue-like wave solutions of the \((2+1)\)-dimensional nonlinear fluid mechanics equations
- PINN deep learning method for the Chen-Lee-Liu equation: rogue wave on the periodic background
- Breathers, rogue waves and breather-rogue waves on a periodic background for the modified nonlinear Schrödinger equation
- A vector Geng-Li model: new nonlinear phenomena and breathers on periodic background waves
- A vector general nonlinear Schrödinger equation with \((m+n)\) components
- On two new types of modified short pulse equation
- Rogue periodic waves of the sine-Gordon equation
- Interaction and energy transition between the breather and rogue wave for a generalized nonlinear Schrödinger system with two higher-order dispersion operators in optical fibers
- \(N\)-fold Darboux transformation and explicit solutions in terms of the determinant for the three-field Blaszak-Marciniak lattice
- The Camassa-Holm-KP equations with compact and noncompact travelling wave solutions
- Extended generalized Darboux transformation to hybrid rogue wave and breather solutions for a nonlinear Schrödinger equation
- Integrable evolution systems based on Gerdjikov–Ivanov equations, bi-Hamiltonian structure, finite-dimensional integrable systems and N-fold Darboux transformation
- A family of completely integrable multi-Hamiltonian systems explicitly related to some celebrated equations
- The Darboux transformation of the derivative nonlinear Schrödinger equation
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- An exact solution for a derivative nonlinear Schrödinger equation
- Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method
- Generalization of the Kaup-Newell Inverse Scattering Formulation and Darboux Transformation
- The chemical basis of morphogenesis
- N-soliton solutions of the KdV6 and mKdV6 equations
- The disintegration of wave trains on deep water Part 1. Theory
- Symmetries and differential equations
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