Some symmetries, similarity solutions and various conservation laws of a type of dispersive water waves
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Publication:2141954
DOI10.1186/s13662-019-2373-0zbMath1487.35026OpenAlexW2980885375WikidataQ127016437 ScholiaQ127016437MaRDI QIDQ2141954
Hongyang Guan, Na Bai, Yu-Feng Zhang
Publication date: 25 May 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-019-2373-0
Wave equation (35L05) Soliton equations (35Q51) Geometric theory, characteristics, transformations in context of PDEs (35A30) Wave front sets in context of PDEs (35A18) Symmetries, invariants, etc. in context of PDEs (35B06)
Cites Work
- Unnamed Item
- Unnamed Item
- Symbolic computation of recursion operators for nonlinear differential-difference equations
- Lie symmetry analysis and exact explicit solutions for general Burgers' equation
- Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
- Conservation laws by symmetries and adjoint symmetries
- A study on lump solutions to a generalized Hirota-Satsuma-ito equation in \((2+1)\)-dimensions
- A refined invariant subspace method and applications to evolution equations
- A generating scheme for conservation laws of discrete zero curvature equations and its application
- Multiple lump solutions of the (3+1)-dimensional potential Yu-Toda-Sasa-Fukuyama equation
- Interaction solutions to Hirota-Satsuma-Ito equation in (2 + 1)-dimensions
- Some similarity solutions and numerical solutions to the time-fractional Burgers system
- Symmetry properties and explicit solutions of some nonlinear differential and fractional equations
- Conservation laws of discrete evolution equations by symmetries and adjoint symmetries
- Residual symmetry, Bäcklund transformation and CRE solvability of a \((2+1)\)-dimensional nonlinear system
- Invariant subspaces and conditional Lie-Bäcklund symmetries of inhomogeneous nonlinear diffusion equations
- Mathematics of dispersive water waves
- A Higher-Order Water-Wave Equation and the Method for Solving It
- Conditional Lie-Bäcklund Symmetries and Invariant Subspaces to Nonlinear Diffusion Equations with Convection and Source
- Approximate equations for long water waves
- Invariant Functions, Symmetries and Primary Branch Solutions of First Order Autonomous Systems
- Nonlinear self-adjointness, conservation laws, and the construction of solutions of partial differential equations using conservation laws
- A SEARCH FOR LUMP SOLUTIONS TO A COMBINED FOURTH-ORDER NONLINEAR PDE IN (2+1)-DIMENSIONS
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