Open AccessGroup Classification Invariant Solutions of Burgers' Equation
Author(s) -
Mohammed Adam Abdualah Khatir,
Mohammed Ali Basher,
Blegiss Abdulaziz Abdulrahman Ebyed
Publication year - 2021
Publication title -
deleted journal
Language(s) - English
Resource type - Journals
ISSN - 1858-6007
DOI - 10.52981/jfst.vi7.948
Subject(s) - invariant (physics) , mathematics , burgers' equation , group (periodic table) , nonlinear system , algebraic number , lie group , pure mathematics , algebra over a field , mathematical analysis , partial differential equation , mathematical physics , physics , quantum mechanics
The aims of the present paper is to solve the problem of the group classification of the general Burgers’ equation u_t=f(x,u) u_x^2+g(x,u)u_xx, where f and g are arbitrary smooth functions of the variables x and u, by using Lie method. The paper is one of the few applications of an algebraic approach to the problem of group classification: We followed the analysis mathematical method using the method of preliminary group classification. A number of new interesting nonlinear invariant models which have nontrivial invariance algebras are obtained. The result of the work is a wide class of equations summarized in table form.