Investigation of breaking dynamics for Riemann waves in shallow water
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Publication:2185142
DOI10.1016/j.chaos.2019.109571zbMath1434.35006OpenAlexW2998257754WikidataQ126524024 ScholiaQ126524024MaRDI QIDQ2185142
Publication date: 4 June 2020
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2019.109571
Schwarzian derivativesingular manifold methodnonlocal symmetryRiemann wavesextended Calogero-Bogoyavlenskii-Schiff equation
Geometric theory, characteristics, transformations in context of PDEs (35A30) Solutions to PDEs in closed form (35C05) Soliton solutions (35C08)
Related Items (6)
Painlevé analysis, Lie group analysis and soliton-cnoidal, resonant, hyperbolic function and rational solutions for the modified Korteweg-de Vries-Calogero-bogoyavlenskii-Schiff equation in fluid mechanics/plasma physics ⋮ Comment on ``Shallow water in an open sea or a wide channel: auto- and non-auto-Bäcklund transformations with solitons for a generalized \((2+1)\)-dimensional dispersive long-wave system ⋮ Symbolic computation on the long gravity water waves: scaling transformations, bilinear forms, \(N\)-soliton solutions and auto-Bäcklund transformation for a variable-coefficient variant Boussinesq system ⋮ Forward scattering for non-linear wave propagation in (3 + 1)-dimensional Jimbo-Miwa equation using singular manifold and group transformation methods ⋮ Regarding the shallow water in an ocean via a Whitham-Broer-Kaup-like system: hetero-Bäcklund transformations, bilinear forms and \(M\) solitons ⋮ Lax pairs, infinite conservation laws, Darboux transformation, bilinear forms and solitonic interactions for a combined Calogero-Bogoyavlenskii-Schiff-type equation
Cites Work
- Unnamed Item
- Hidden symmetries and exact solutions of integro-differential Jaulent-Miodek evolution equation
- Exact propagating multi-anti-kink soliton solutions of a \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation
- A study on two extensions of the Bogoyavlenskii-Schieff equation
- On hidden symmetries of extremal Kerr-NUT-AdS-dS black holes
- New solitary wave solutions to nonlinear evolution equations by the exp-function method
- Applications of HTA and EHTA to YTSF equation
- Abundant new exact solutions for the \((3+1)\)-dimensional Jimbo-Miwa equation
- Analysis of (3 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation via Lax pair investigation and group transformation method
- A KdV equation in 2+1 dimensions: Painlevé analysis, solutions and similarity reductions
- The sine-cosine and the tanh methods: reliable tools for analytic treatment of nonlinear dispersive equations
- Symmetry reduction, exact solutions and conservation laws of a new fifth-order nonlinear integrable equation
- Nonlocal symmetries of Riccati and Abel chains and their similarity reductions
- Electromagnetic Waves and Lasers
- The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
- Bäcklund Transformation and Similarity Reductions of Nonlinear Partial Differential Equations Using Extended Homogeneous Balance Method
- New integrable hierarchy, its parametric solutions, cuspons, one-peak solitons, and M/W-shape peak solitons
- N-soliton solutions to a -dimensional integrable equation
- Exact solutions of Calgero–Bogoyavlenskii–Schiff equation using the singular manifold method after Lie reductions
- Hidden Symmetries, First Integralsvand Reduction of Order of Nonlinear Ordinary Differential Equations
- Auto-Bäcklund transformation and similarity reductions for general variable coefficient KdV equations
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