Invariant Functions, Symmetries and Primary Branch Solutions of First Order Autonomous Systems

DOI10.1088/0253-6102/68/1/21zbMath1370.35024OpenAlexW2737706071MaRDI QIDQ5357120

Sen-yue Lou, Ruo-Xia Yao

Publication date: 14 September 2017

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/68/1/21

zbMATH Keywords

exact solutionssymmetriesrecursion operatorsinvariant operatorsinvariant functions

Mathematics Subject Classification ID

Geometric theory, characteristics, transformations in context of PDEs (35A30) Systems of nonlinear first-order PDEs (35F50)

Related Items (8)

Some symmetries, similarity solutions and various conservation laws of a type of dispersive water waves ⋮ Some invariant solutions and conservation laws of a type of long-water wave system ⋮ From decoupled integrable models to coupled ones via a deformation algorithm* ⋮ Nonlocal symmetries and group invariant solutions for the coupled variable-coefficient Newell-Whitehead system ⋮ Unnamed Item ⋮ A method for generating isospectral and nonisospectral hierarchies of equations as well as symmetries ⋮ New symmetries, group-invariant solutions, linear differential constraints of a generalized Burgers-KdV equation and its reduction ⋮ Symmetry properties and explicit solutions of some nonlinear differential and fractional equations

Cites Work

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• The Painlevé property for partial differential equations
• Symmetries and Integrability
• Application of hereditary symmetries to nonlinear evolution equations
• Bäcklund transformations for hereditary symmetries
• Primary Branch Solutions of First Order Autonomous Scalar Partial Differential Equations via Lie Symmetry Approach
• The partial differential equation u_t + uu_x = μ_xx

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