Results 271 to 280 of about 23,641,221 (298)

Lie symmetry analysis of a variable coefficient Calogero–Degasperis equation

Physica Scripta, 2018
Abstract We consider a general class of variable coefficient Calogero–Degasperis equations. The complete Lie group classification is performed with the aid of the appropriate equivalence group. Lie symmetries are used to derive a number of reductions by constructing the corresponding optimal lists of one-dimensional subalgebras of the
Sophocleous, Christodoulos, Tracinà, Rita, Sophocleous, Christodoulos, Tracinà, Rita   +3 more
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Lie Symmetry Analysis and Exact Solutions for the Extended mKdV Equation

Acta Applicandae Mathematicae, 2008
This paper concerns solutions of an extended mKdV equation of the form \[ u_t +a_1 u_{xxx} + a_2 u_x +a_3 u u_x + a_4 u^2 u_x = 0, \] where \(u = u(x,t)\) is an unknown function and the parameters \(a_i\) are real numbers with \(a_1 a_4 \neq 0\). Its exact solutions are obtained by using the method of Lie symmetry analysis as well as the method of ...
Liu, Hanze, Li, Jibin
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Lie Symmetry Analysis for the Degasperis-Procesi Equation Based on Maple

2012
In this paper, the Lie symmetry analysis is performed for the Degasperis-Procesi equation. By taking the package Desolv in maple and Lie group method, the exact solutions from the symmetry transformations are provided. Such exact explicit solutions are important in both applications and the theory of nonlinear science.
Qing Wang, Tao Wang
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Lie symmetry analysis for classification on pattern in excitable media

Chaos, Solitons & Fractals, 2006
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Murata, Souichi, Yamada, Hiroyasu
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Complex Methods for Lie Symmetry Analysis

2021
Asghar Qadir, Fazal M. Mahomed
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Lie Symmetry Analysis for Obtaining the Abundant Exact Solutions, Optimal System and Dynamics of Solitons for a Higher-Dimensional Fokas Equation

Chaos, Solitons and Fractals, 2021
Sachin Kumar, Dharmendra Kumar
exaly  

Lie Symmetries, Optimal System and Group-Invariant Solutions of the (3+1)-Dimensional Generalized KP Equation

Chinese Journal of Physics, 2021
Wen-Xiu Ma, Sachin Kumar
exaly  

LIE SYMMETRY ANALYSIS OF AN UNSTEADY HEAT CONDUCTION PROBLEM

Waves and Stability in Continuous Media, 2010
Omar Di Stefano, SAMMARCO, SERENA, SPINELLI, CECILIA   +2 more
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Lie Symmetries of Nonlinear Systems With Unknown Inputs

Mechanical Systems and Signal Processing, 2023
Xiaodong Shi, Manolis Chatzis
exaly  

Optical Solitons and Lie Symmetry Analysis of Kaupnewell Equation

Communications on Applied Nonlinear Analysis
This manuscript is based on the Kaup-Newell equation, speci cally contemplated to be a kind of nonlinear Schrodinger equation. One of the frameworks derived from the well-known nonlinear Schrodinger equation is the KaupNewell equation which is one of the three derivative forms of the nonlinear Schrodinger equation that is frequently explored in ...
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