Lie group classification of the \(N\)-th-order nonlinear evolution equations
DOI10.1007/s11425-011-4301-yzbMath1259.35013OpenAlexW2267425528WikidataQ115378160 ScholiaQ115378160MaRDI QIDQ1934554
Qing Huang, Yongyang Jin, Shou-feng Shen, Chang-Zheng Qu
Publication date: 29 January 2013
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-011-4301-y
Nonlinear higher-order PDEs (35G20) Initial value problems for nonlinear higher-order PDEs (35G25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Symmetries, invariants, etc. in context of PDEs (35B06)
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Cites Work
- Optimal systems and group classification of \((1+2)\)-dimensional heat equation
- Classification of local and nonlocal symmetries of fourth-order nonlinear evolution equations
- Similarity methods for differential equations
- Equivalence transformations and symmetries for a heat conduction model
- Group classification and exact solutions of nonlinear wave equations
- Group classification of nonlinear wave equations
- New similarity reductions of the Boussinesq equation
- Preliminary group classification of a class of fourth-order evolution equations
- Low-dimensional real Lie algebras
- Preliminary group classification of equations v t t=f (x,v x)v x x+g(x,v x)
- Invariants of real low dimension Lie algebras
- Group classification of heat conductivity equations with a nonlinear source
- Symmetry reduction and exact solutions of the Navier-Stokes equations. I
- Symmetries of variable coefficient Korteweg–de Vries equations
- Symmetry classification of KdV-type nonlinear evolution equations
- Allowed transformations and symmetry classes of variable coefficient Burgers equations
- A group analysis approach for a nonlinear differential system arising in diffusion phenomena
- Group classification of the general second-order evolution equation: semi-simple invariance groups
- Symmetries and differential equations
- On preliminary symmetry classification of nonlinear Schrödinger equations with some applications to Doebner-Goldin models
- The structure of Lie algebras and the classification problem for partial differential equations
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