Conservation Laws for Self-Adjoint First-Order Evolution Equation
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Publication:3018683
DOI10.1142/S1402925111001453zbMath1219.35228arXiv1002.3986MaRDI QIDQ3018683
Publication date: 27 July 2011
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1002.3986
KdV equations (Korteweg-de Vries equations) (35Q53) Invariance and symmetry properties for PDEs on manifolds (58J70) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)
Related Items (16)
Symmetries and conservation laws of a time dependent nonlinear reaction-convection-diffusion equation ⋮ Nonlinear self-adjointness and conservation laws of the variable coefficient combined KdV equation with a forced term ⋮ Lie point symmetries, conservation laws, and solutions of a space dependent reaction-diffusion equation ⋮ On the nonlinear self-adjointness and local conservation laws for a class of evolution equations unifying many models ⋮ Self-adjointness, symmetries, and conservation laws for a class of wave equations incorporating dissipation ⋮ A note on ``Lie symmetries of inviscid Burgers equation ⋮ Nonlinear self-adjointness of a class of third order nonlinear dispersive equations ⋮ Nonlinear self-adjointness of a 2D generalized second order evolution equation ⋮ Conservation laws and exact solutions for a reaction-diffusion equation with a variable coefficient ⋮ Nonlinear self-adjoint classification of a Burgers-KdV family of equations ⋮ Conservation laws for a variable coefficient nonlinear diffusion-convection-reaction equation ⋮ Lie point symmetries and some group invariant solutions of the quasilinear equation involving the infinity Laplacian ⋮ Self-adjoint sub-classes of third and fourth-order evolution equations ⋮ On Painlevé analysis, symmetry group and conservation laws of Date-Jimbo-Kashiwara-Miwa equation ⋮ Group analysis of the Novikov equation ⋮ Conservation laws of inviscid Burgers equation with nonlinear damping
Cites Work
- Unnamed Item
- Self-adjoint sub-classes of third and fourth-order evolution equations
- Symmetries and solutions to the thin film equations
- New solutions for the one-dimensional nonconservative inviscid Burgers equation
- Lie symmetries of the equation \(u_{t}(x, t) + g(u)u_{x}(x, t) = 0\)
- A finite volume method for the mean of the solution of the random transport equation
- A new conservation theorem
- Interactions of delta shock waves in a strictly hyperbolic system of conservation laws
- Central ADER schemes for hyperbolic conservation laws
- Statistical moments of the random linear transport equation
- Classification of similarity solutions for inviscid Burgers' equation
- On the paper ``symmetry analysis of wave equation on sphere by H. Azad and M. T. Mustafa
- Special conformal groups of a Riemannian manifold and Lie point symmetries of the nonlinear Poisson equation
- Statistical moments of the solution of the random Burgers-Riemann problem
- Self-adjoint sub-classes of generalized thin film equations
- Lie symmetries of inviscid Burgers' equation
- Lie symmetry analysis of differential equations in finance
- Distributional products and global solutions for nonconservative inviscid Burgers equation
- Comparison of different approaches to conservation laws for some partial differential equations in fluid mechanics
- Equivalence group of a fourth-order evolution equation unifying various nonlinear models
- Lie symmetries and form-preserving transformations of reaction-diffusion-convection equations
- New conservation laws obtained directly from symmetry action on a known conservation law
- Interactions of delta shock waves for the transport equations with split delta functions
- New results on group classification of nonlinear diffusion–convection equations
- Conservations laws for critical Kohn-Laplace equations on the Heisenberg group
- Group classification of the general second-order evolution equation: semi-simple invariance groups
- On some differential invariants for a family of diffusion equations
- Symmetries and differential equations
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