Method of Conservation Laws for Constructing Solutions to Systems of PDEs

DOI10.5890/DNC.2012.09.002zbMath1288.35028OpenAlexW2083439113MaRDI QIDQ5409000

Nail H. Ibragimov

Publication date: 11 April 2014

Published in: The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5890/dnc.2012.09.002

Mathematics Subject Classification ID

Symmetries, invariants, etc. in context of PDEs (35B06)

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Symmetries and conservation laws of a time dependent nonlinear reaction-convection-diffusion equation ⋮ Three-component nonlocal conservation laws for Lax-integrable 3D partial differential equations ⋮ Group classification and conservation laws of a sixth-order thin film type equation ⋮ Conservation laws of the complex short pulse equation and coupled complex short pulse equations ⋮ Conservation laws and non-invariant solutions of anisotropic wave equations with a source ⋮ Nonlinear self-adjointness and conservation laws of the \((3+1)\)-dimensional Burgers equation ⋮ Conservation laws for a modified lubrication equation ⋮ Symmetry and conservation laws of the (2+1)-dimensional nonlinear Schrödinger-type equation ⋮ Nonlinear self-adjointness and conservation laws of Klein-Gordon-Fock equation with central symmetry ⋮ Symmetry analysis, conserved quantities and applications to a dissipative DGH equation ⋮ Group analysis of the drift-diffusion model for quantum semiconductors ⋮ Entrainment by chaos ⋮ Nonlinear self-adjointness, conservation laws, exact solutions of a system of dispersive evolution equations

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