On reducing and finding solutions of nonlinear evolutionary equations via generalized symmetry of ordinary differential equations

DOI10.3934/mbe.2022328OpenAlexW4283327352WikidataQ115218793 ScholiaQ115218793MaRDI QIDQ2686835

W. Rzeszut, I. M. Tsyfra

Publication date: 28 February 2023

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2022328

zbMATH Keywords

ordinary differential equationnonlinear differential equationsymmetry reductionansatzgeneralized symmetry

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Symmetries, invariants, etc. in context of PDEs (35B06)

Cites Work

• Nonpoint symmetry and reduction of nonlinear evolution and wave type equations
• Extended group analysis of variable coefficient reaction-diffusion equations with exponential nonlinearities
• Group analysis of variable coefficient diffusion-convection equations. I: Enhanced group classification
• Applications of symmetry methods to partial differential equations
• Mathematical biology. Vol. 1: An introduction.
• Lie-Bäcklund symmetries of linear ODEs and generalized separation of variables in nonlinear equations
• The construction of special solutions to partial differential equations
• Lie symmetry, nonlocal symmetry analysis, and interaction of solutions of a \((2+1)\)-dimensional KdV-mKdV equation
• Conservation laws and nonlocally related systems of the Hunter-Saxton equation for liquid crystal
• Generalized conditional symmetries of evolution equations
• Singular reduction modules of differential equations
• Reduction operators of variable coefficient semilinear diffusion equations with an exponential source
• Group-Invariant Solutions of Differential Equations
• Exact solutions to nonlinear diffusion equations obtained by a generalized conditional symmetry method
• Direct reduction and differential constraints
• Nonlinear interaction of traveling waves of nonintegrable equations
• Partially integrable nonlinear equations with one higher symmetry
• Conditional Lie-Backlund symmetry and reduction of evolution equations
• Large time solution of an inhomogeneous nonlinear diffusion equation
• Nonclassical Symmetries for Nonlinear Diffusion and Absorption
• On classical symmetries of ordinary differential equations related to stationary integrable partial differential equations
• Reduction operators of linear second-order parabolic equations
• Singular reduction operators in two dimensions
• Invariant modules and the reduction of nonlinear partial differential equations to dynamical systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On reducing and finding solutions of nonlinear evolutionary equations via generalized symmetry of ordinary differential equations