Second-order conditional Lie-Bäcklund symmetry and differential constraint of radially symmetric diffusion system

DOI10.1155/2021/8891750zbMath1483.37089OpenAlexW3122372120MaRDI QIDQ2247667

Li-na Ji, Huijing Ba, Yaru Liu, Longqi He, Jian-ping Wang

Publication date: 17 November 2021

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/8891750

zbMATH Keywords

Lie-Bäcklund symmetry methodradially symmetric diffusion system

Mathematics Subject Classification ID

Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On new exact blow-up solutions for nonlinear heat conduction equations with source and applications
• On the weak symmetry groups of partial differential equations
• Iterating the nonclassical symmetries method
• Separation of variables and exact solutions to quasilinear diffusion equations with nonlinear source
• Higher conditional symmetry and reduction of initial value problems
• On nonlinear diffusion equations with \(x\)-dependent convection and absorption
• Generalized conditional symmetries and exact solutions of non-integrable equations
• The construction of special solutions to partial differential equations
• Evolution equations, invariant surface conditions and functional separation of variables
• Some new periodic solitary wave solutions of (3+1)-dimensional generalized shallow water wave equation by Lie symmetry approach
• Solitary wave solutions of \((3+1)\)-dimensional extended Zakharov-Kuznetsov equation by Lie symmetry approach
• Lie symmetry reductions and group invariant solutions of \((2+1)\)-dimensional modified Veronese web equation
• Conditional Lie-Bäcklund symmetry, second-order differential constraint and direct reduction of diffusion systems
• Exact polynomial solutions to some nonlinear diffusion equations
• Generalized conditional symmetries of evolution equations
• Invariant subspaces and conditional Lie-Bäcklund symmetries of inhomogeneous nonlinear diffusion equations
• New explicit solutions of quasilinear heat equations with general first-order sign-invariants
• Initial-value problems for evolutionary partial differential equations and higher-order conditional symmetries
• Conditional Lie-Bäcklund Symmetries and Invariant Subspaces to Nonlinear Diffusion Equations with Convection and Source
• Conditional Lie-Bäcklund Symmetry of Evolution System and Application for Reaction-Diffusion System
• Conditional Lie-Backlund symmetries and invariant subspaces to non-linear diffusion equations
• Non-classical symmetry reduction: example of the Boussinesq equation
• New similarity reductions of the Boussinesq equation
• Conditional Lie Bäcklund symmetries and solutions to (n+1)-dimensional nonlinear diffusion equations
• Group-Invariant Solutions of Differential Equations
• Invariant sets of evolution equations
• New non-Lie ansätze and exact solutions of nonlinear reaction-diffusion-convection equations
• Exact solutions to nonlinear diffusion equations obtained by a generalized conditional symmetry method
• Direct reduction and differential constraints
• Quasilinear heat equations with first-order sign-invariants and new explicit solutions
• Group Classification and Generalized Conditional Symmetry Reduction of the Nonlinear Diffusion–Convection Equation with a Nonlinear Source
• New variable separation approach: application to nonlinear diffusion equations
• Constructing conditionally integrable evolution systems in (1   1) dimensions: a generalization of invariant modules approach
• Nonlinear interaction of traveling waves of nonintegrable equations
• Non-classical reductions of initial-value problems for a class of nonlinear evolution equations
• Non-Lie symmetry groups of (2+1)-dimensional nonlinear systems obtained from a simple direct method
• Maximal sign-invariants of quasilinear parabolic equations with gradient diffusivity
• Conditional Lie-Backlund symmetry and reduction of evolution equations
• Exact solutions to nonlinear equations with quadratic nonlinearity
• Invariant subspaces and new explicit solutions to evolution equations with quadratic nonlinearities
• Solutions and symmetry reductions of the n-dimensional non-linear convection-diffusion equations
• Exact interaction of solitary waves for certain nonintegrable equations
• Conditional Lie Bäcklund Symmetries and Sign‐Invariants to Quasi‐Linear Diffusion Equations

This page was built for publication: Second-order conditional Lie-Bäcklund symmetry and differential constraint of radially symmetric diffusion system