Symmetry Groups, Similarity Reductions, and Conservation Laws of the Time-Fractional Fujimoto–Watanabe Equation Using Lie Symmetry Analysis Method
نویسندگان
چکیده
منابع مشابه
Lie symmetry Analysis and Explicit Exact Dolutions of the Time Fractional Drinfeld-Sokolov-Wilson (DSW) System
In this study coupled system of nonlinear time fractional Drinfeld-Sokolov-Wilson equations, which describes the propagation of anomalous shallow water waves is investigated. The Lie symmetry analysis is performed on the model. Employing the suitable similarity transformations, the governing model is similarity reduced to a system of nonlinear ordinary differential equations with Erdelyi-Kober ...
متن کاملgeneralized double sinh-gordon equation: symmetry reductions, exact solutions and conservation laws
this paper aims to study a generalized double sinh-gordon equation, which appears in several physical phenomena such as integrable quantum field theory, kink dynamics and fluid dynamics. lie symmetry analysis together with the simplest equation method is used to obtain exact solutions for this equation. moreover, we derive conservation laws for the equation by using two different approaches, na...
متن کاملSymmetry Analysis and Conservation Laws of the Zoomeron Equation
In this work, we study the (2 + 1)-dimensional Zoomeron equation which is an extension of the famous (1 + 1)-dimensional Zoomeron equation that has been studied extensively in the literature. Using classical Lie point symmetries admitted by the equation, for the first time we develop an optimal system of one-dimensional subalgebras. Based on this optimal system, we obtain symmetry reductions an...
متن کاملLie Symmetry Reductions, Exact Solutions and Conservation Laws of the Third Order Variant Boussinesq System
The research area of nonlinear partial differential equations (NLPDEs) has been very active for the past few decades. The study of the exact solutions of a nonlinear evolution equation (NLEE) plays an important role to understand the nonlinear physical phenomena which are described by these equations. In recent years several powerful and efficient methods have been developed for finding analyti...
متن کاملApplication of the Lie Symmetry Analysis for second-order fractional differential equations
Obtaining analytical or numerical solution of fractional differential equations is one of the troublesome and challenging issue among mathematicians and engineers, specifically in recent years. The purpose of this paper Lie Symmetry method is developed to solve second-order fractional differential equations, based on conformable fractional derivative. Some numerical examples are presented to il...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Complexity
سال: 2020
ISSN: 1076-2787,1099-0526
DOI: 10.1155/2020/4830684