The loop rogue wave solutions for the Wadati–Konno–Ichikawa equation
From MaRDI portal
Publication:4556534
DOI10.1063/1.5053612zbMath1459.35337OpenAlexW2896504345WikidataQ58589785 ScholiaQ58589785MaRDI QIDQ4556534
Deqin Qiu, Yongshuai Zhang, Dumitru Mihalache, Jing-Song He
Publication date: 16 November 2018
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.5053612
KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30)
Related Items (5)
High order rational solitons and their dynamics of the 3-wave resonant interaction equation ⋮ Interaction behaviors between solitons, breathers and their hybrid forms for a short pulse equation ⋮ Hodograph transformation, various exact solutions and dynamical analysis for the complex Wadati-Konno-Ichikawa-II equation ⋮ Nonlinear, nondispersive wave equations: Lagrangian and Hamiltonian functions in the hodograph transformation ⋮ A complex short pulse system in optical-fiber communications: rogue waves and phase transitions
Cites Work
- Unnamed Item
- Families of rational solutions of the \(y\)-nonlocal Davey-Stewartson II equation
- Propagation of ultra-short optical pulses in cubic nonlinear media
- The hierarchy of higher order solutions of the derivative nonlinear Schrödinger equation
- Darboux transformation of the second-type derivative nonlinear Schrödinger equation
- 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
- A New Integrable Nonlinear Evolution Equation
- New Integrable Nonlinear Evolution Equations
- The rogue wave and breather solution of the Gerdjikov-Ivanov equation
- Ultra-short pulses in linear and nonlinear media
- Water waves, nonlinear Schrödinger equations and their solutions
- The Darboux transformation of the derivative nonlinear Schrödinger equation
- Dynamics of lumps and dark–dark solitons in the multi-component long-wave–short-wave resonance interaction system
- Versatile rogue waves in scalar, vector, and multidimensional nonlinear systems
- Rational and Semirational Solutions of the Nonlocal Davey–Stewartson Equations
- Semi-rational solutions of the third-type Davey-Stewartson equation
- The Short Pulse Equation Is Integrable
- Dynamics of rogue waves in the Davey–Stewartson II equation
- The determinant representation of an N-fold Darboux transformation for the short pulse equation
- N-soliton formula and blow-up result of the Wadati–Konno–Ichikawa equation
- Multi-rogue waves solutions: from the NLS to the KP-I equation
- Solitary wave solutions of the short pulse equation
This page was built for publication: The loop rogue wave solutions for the Wadati–Konno–Ichikawa equation