Lie symmetries and conservation laws for a generalized \((2+1)\)-dimensional nonlinear evolution equation

DOI10.1007/s10910-020-01111-8zbMath1436.35023OpenAlexW3009668881WikidataQ114852351 ScholiaQ114852351MaRDI QIDQ2309762

Yanyan Li

Publication date: 1 April 2020

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-020-01111-8

zbMATH Keywords

nonlinear partial differential equationsLie point symmetry generatorsclassification of conservation laws

Mathematics Subject Classification ID

Geometric theory, characteristics, transformations in context of PDEs (35A30) Symmetries, invariants, etc. in context of PDEs (35B06)

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Cites Work

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• New application of \((G'/G)\)-expansion method for generalized (2+1)-dimensional nonlinear evolution equations
• One method for finding exact solutions of nonlinear differential equations
• Symmetry reduction, exact solutions, and conservation laws of the ZK-BBM equation
• The extended tanh method for the Zakharov-Kuznetsov (ZK) equation, the modified ZK equation, and its generalized forms
• The repeated homogeneous balance method and its applications to nonlinear partial differential equations
• Traveling-wave solutions of the Calogero-Degasperis-Fokas equation in \(2+1\) dimensions
• Lie symmetry analysis and exact explicit solutions for general Burgers' equation
• Derivation of a nonlinear front evolution equation for chemical waves involving convection
• The tanh method: A tool for solving certain classes of nonlinear evolution and wave equations.
• Exact solutions of the generalized \((2+1)\)-dimensional nonlinear evolution equations via the modified simple equation method
• Lie symmetry analysis and exact solutions of generalized fractional Zakharov-Kuznetsov equations
• Conservation laws and symmetries of radial generalized nonlinear \(p\)-Laplacian evolution equations
• Conservation laws and exact solutions of a generalized Zakharov-Kuznetsov equation
• Simplest equation method to look for exact solutions of nonlinear differential equations
• A multiple exp-function method for nonlinear differential equations and its application
• On a generalized variable‐coefficient Gardner equation with linear damping and dissipative terms
• Symmetries and differential equations