Hodograph transformation, various exact solutions and dynamical analysis for the complex Wadati-Konno-Ichikawa-II equation
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Publication:6156249
DOI10.1016/j.physd.2023.133770zbMath1517.35011MaRDI QIDQ6156249
Publication date: 13 June 2023
Published in: Physica D (Search for Journal in Brave)
asymptotic analysisbursting and singular-loop solutionsgeneralized \((m, N - m)\)-fold Darboux transformation
Transform methods (e.g., integral transforms) applied to PDEs (35A22) Solutions to PDEs in closed form (35C05)
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Cites Work
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- Complex short pulse and coupled complex short pulse equations
- Propagation of ultra-short optical pulses in cubic nonlinear media
- Symmetry broken and symmetry preserving multi-soliton solutions for nonlocal complex short pulse equation
- Darboux transformation and soliton solutions of the spatial discrete coupled complex short pulse equation
- General breather and rogue wave solutions to the complex short pulse equation
- Riemann-Hilbert method for the Wadati-Konno-Ichikawa equation: \(N\) simple poles and one higher-order pole
- The Darboux transformation for the Wadati-Konno-Ichikawa system
- Multi-soliton, multi-breather and higher order rogue wave solutions to the complex short pulse equation
- Multi-component WKI equations and their conservation laws
- Three-component WKI equation and curve motion flow in Euclidean and Minkowski space
- Darboux transformations in integrable systems. Theory and their applications to geometry
- Integrable evolution systems based on Gerdjikov–Ivanov equations, bi-Hamiltonian structure, finite-dimensional integrable systems and N-fold Darboux transformation
- The Nonlinear Evolution Equations Related to the Wadati-Konno-Ichikawa Spectral Problem
- New Integrable Nonlinear Evolution Equations
- Dynamics of the Smooth Positons of the Wadati-Konno-Ichikawa Equation*
- The WKI Model of Type II Arises from Motion of Curves inE3
- Darboux transformation and soliton-like solutions for the Gerdjikov-Ivanov equation
- The loop rogue wave solutions for the Wadati–Konno–Ichikawa equation
- Modulational instability and dynamics of multi-rogue wave solutions for the discrete Ablowitz-Ladik equation
- Modulational instability and higher-order rogue waves with parameters modulation in a coupled integrable AB system via the generalized Darboux transformation
- Higher-order vector discrete rogue-wave states in the coupled Ablowitz-Ladik equations: Exact solutions and stability
- The method of Darboux transformation matrix for solving the Landau-Lifschitz equation for a spin chain with an easy plane
- N-loop solitons and their link with the complex Harry Dym equation
- High‐Order Soliton Solution of Landau–Lifshitz Equation
- A generalization of the Landau-Lifschitz equation: breathers and rogue waves
- Integrable discretizations of the short pulse equation
- N-soliton formula and blow-up result of the Wadati–Konno–Ichikawa equation
- Integrable equations arising from motions of plane curves
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