Results 311 to 320 of about 28,275 (337)

Lie symmetry analysis of a variable coefficient Calogero–Degasperis equation

Physica Scripta, 2018
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 Lie symmetry algebras ...
Sophocleous, Christodoulos, Tracinà, Rita, Sophocleous, Christodoulos, Tracinà, Rita   +3 more
openaire   +2 more sources

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
openaire   +2 more sources

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
openaire   +1 more source

Lie symmetry classification analysis for nonlinear coupled diffusion

Journal of Physics A: Mathematical and General, 1998
Summary: The group properties of the \((1+1)\)-dimensional matrix diffusion equation of the form \(\partial y/\partial t= \partial\{\Lambda(y)\partial y/\partial x\}/\partial x\) with respect to point symmetries are given. It is shown that in particular cases the group properties of this equation are similar to those of the corresponding scalar ...
Baikov, V. A., Gladkov, A. V., Wiltshire, R. J.   +2 more
openaire   +2 more sources

Complex Methods for Lie Symmetry Analysis

2021
Asghar Qadir, Fazal M. Mahomed
openaire   +1 more source

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, Sachin Kumar   +2 more
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
openaire   +2 more sources

Lie symmetry analysis, optimal system, symmetry reductions and analytic solutions for a (2＋1)-dimensional generalized nonlinear evolution system in a fluid or a plasma

Chinese Journal of Physics, 2023
Tian-Yu Zhou, Yuan Shen, Chong-Dong Cheng   +2 more
exaly  

Lie symmetry, nonlocal symmetry analysis, and interaction of solutions of a (2+1)-dimensional KdV–mKdV equation

Theoretical and Mathematical Physics(Russian Federation), 2021
Zhonglong Zhao, Lingchao He, Zhao Zhonglong   +2 more
exaly  

Optical solitons of the perturbed nonlinear Schrödinger equation using Lie symmetry method

Optik, 2023
Mir Sajjad Hashemi, Mohammad Mirzazadeh
exaly