Infinite-dimensional symmetries of two-dimensional generalized Burgers equations
From MaRDI portal
Publication:5251830
DOI10.1063/1.3456061zbMath1311.35160arXiv0902.4156OpenAlexW11514281MaRDI QIDQ5251830
Publication date: 21 May 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0902.4156
Second-order nonlinear hyperbolic equations (35L70) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Symmetries, invariants, etc. in context of PDEs (35B06)
Related Items (4)
Analysis of the symmetry group and exact solutions of the dispersionless KP equation in n + 1 dimensions ⋮ Davey-Stewartson equations in \((3 + 1)\) dimensions with an infinite-dimensional symmetry algebra ⋮ Symmetry properties of conservation laws for nonlinear Fokker-Planck equation describing cell population growth ⋮ Lie symmetries of a generalized Kuznetsov-Zabolotskaya-Khokhlov equation
Cites Work
- Unnamed Item
- Equivalence classes and symmetries of the variable coefficient Kadomtsev-Petviashvili equation
- Symmetry properties of a nonlinear acoustics model
- Admissible transformations and normalized classes of nonlinear Schrödinger equations
- Generalized Kadomtsev-Petviashvili equation with an infinite-dimensional symmetry algebra
- Symmetries and invariant solutions of the two-dimensional variable coefficient Burgers equation
- The generalized Davey-Stewartson equations, its Kac-Moody-Virasoro symmetry algebra and relation to Davey-Stewartson equations
- Group-invariant solutions of a nonlinear acoustics model
- Symmetry reduction for the Kadomtsev–Petviashvili equation using a loop algebra
- Towards the conservation laws and Lie symmetries for the Khokhlov-Zabolotskaya equation in three dimensions
- Symmetries of the Khokhlov-Zabolotskaya equation
- On form-preserving point transformations of partial differential equations
- A class of Bäcklund transformations for equations of the type u x y=f(u,u x)
- Group classification of heat conductivity equations with a nonlinear source
- Symmetries and invariant solutions of the two-dimensional variable coefficient Burgers equation
- Symmetries of variable coefficient Korteweg–de Vries equations
- Symmetry classification of KdV-type nonlinear evolution equations
- Symmetry classes of variable coefficient nonlinear Schrodinger equations
- Similarity Reductions of the Zabolotskaya-Khokhlov Equation with a Dissipative Term
- Group classification of the general second-order evolution equation: semi-simple invariance groups
- Painleve analysis of the two-dimensional Burgers equation
- The structure of Lie algebras and the classification problem for partial differential equations
This page was built for publication: Infinite-dimensional symmetries of two-dimensional generalized Burgers equations