Primary Branch Solutions of First Order Autonomous Scalar Partial Differential Equations via Lie Symmetry Approach

DOI10.1080/14029251.2017.1341700zbMath1420.35025OpenAlexW2670283069WikidataQ115295501 ScholiaQ115295501MaRDI QIDQ5231077

Sen-yue Lou, Ruo-Xia Yao

Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14029251.2017.1341700

zbMATH Keywords

symmetry approacharbitrary first order scalar PDEprimary branch solutions

Mathematics Subject Classification ID

Differential geometry of symmetric spaces (53C35) Noncompact Lie groups of transformations (57S20) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items

Invariant Functions, Symmetries and Primary Branch Solutions of First Order Autonomous Systems ⋮ Nonlocal symmetries and group invariant solutions for the coupled variable-coefficient Newell-Whitehead system ⋮ Unnamed Item ⋮ Duality of positive and negative integrable hierarchies via relativistically invariant fields ⋮ 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 ⋮ Primary Branch Solutions of First Order Autonomous Scalar Partial Differential Equations via Lie Symmetry Approach ⋮ Symmetry properties and explicit solutions of some nonlinear differential and fractional equations

Cites Work

• The Painlevé property for partial differential equations
• Application of hereditary symmetries to nonlinear evolution equations
• 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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