Exact solutions of the two-dimensional Cattaneo model using Lie symmetry transformations
type: Item
instance of: scholarly article
title: Exact solutions of the two-dimensional Cattaneo model using Lie symmetry transformations
zbMATH Open document ID: 1465.35095
DOI: 10.1155/2021/6629074
author: Khudija Bibi
author: Khalil Ahmad
published in: Discrete Dynamics in Nature and Society
publication date: 2021-07-02T00:00:00Z
review text: Summary: In this article, symmetry technique is utilized to obtain new exact solutions of the Cattaneo equation. The infinitesimal symmetries, linear combinations of these symmetries, and corresponding similarity variables are determined, which lead to many exact solutions of the considered equation. By applying similarity transformations, the mentioned partial differential equation is reduced to some ordinary differential equations of second order. Solutions of these ordinary differential equations have yielded many exact solutions of the Cattaneo equation.
Mathematics Subject Classification ID: 35C06
zbMATH DE Number: 7367232
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6629074
OpenAlex ID: W3155775946
cites work: Q5793240
cites work: Heat waves.
cites work: Analytical solutions for heat diffusion beyond Fourier law
cites work: Thermal convection with the Cattaneo-Christov model
cites work: The generalized Cattaneo equation for the description of anomalous transport processes
cites work: Comparing Cattaneo and Fractional Derivative Models for Heat Transfer Processes
cites work: Comparison of the solutions of a phase-lagging heat transport equation and damped wave equation
cites work: Dual-wave solutions for the quadratic-cubic conformable-Caputo time-fractional Klein-Fock-Gordon equation
cites work: Lie symmetry analysis and group invariant solutions of the nonlinear Helmholtz equation
cites work: Lie symmetry analysis and exact solutions of generalized fractional Zakharov-Kuznetsov equations
cites work: Lie symmetry analysis and exact explicit solutions for general Burgers' equation
cites work: Q3715336
cites work: Exact solutions of Newell-Whitehead-Segel equations using symmetry transformations
cites work: The compact finite difference method of two-dimensional Cattaneo model
cites work: Q4876472
cites work: Q4692893
cites work: Symmetries and differential equations
cites work: Q4849745
description: scientific article; zbMATH DE number 7367232