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

Theoretical and Mathematical Physics ◽

10.1134/s0040577921020033 ◽

2021 ◽

Vol 206 (2) ◽

pp. 142-162

Author(s):

Zhonglong Zhao ◽

Lingchao He

Keyword(s):

Mkdv Equation ◽

Lie Symmetry ◽

Symmetry Analysis ◽

Nonlocal Symmetry

Download Full-text

A Note on the Lie Symmetry Analysis and Exact Solutions for the Extended mKdV Equation

Acta Applicandae Mathematicae ◽

10.1007/s10440-010-9582-6 ◽

2010 ◽

Vol 113 (1) ◽

pp. 41-44 ◽

Author(s):

Nikolay A. Kudryashov ◽

Dmitry I. Sinelshchikov

Keyword(s):

Exact Solutions ◽

Mkdv Equation ◽

Lie Symmetry ◽

Symmetry Analysis ◽

Lie Symmetry Analysis

Download Full-text

Lie Symmetry Analysis and Exact Solutions for the Extended mKdV Equation

Acta Applicandae Mathematicae ◽

10.1007/s10440-008-9362-8 ◽

2008 ◽

Vol 109 (3) ◽

pp. 1107-1119 ◽

Author(s):

Hanze Liu ◽

Jibin Li

Keyword(s):

Exact Solutions ◽

Mkdv Equation ◽

Lie Symmetry ◽

Symmetry Analysis ◽

Lie Symmetry Analysis

Download Full-text

Lie Symmetry Analysis of the Nonlinear Schrödinger Equation with Time Dependent Variable Coefficients

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-021-00953-3 ◽

2021 ◽

Vol 7 (1) ◽

Author(s):

Preeti Devi ◽

K. Singh

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Variable Coefficients ◽

Lie Symmetry ◽

Nonlinear Schrodinger Equation ◽

Symmetry Analysis ◽

Time Dependent ◽

Lie Symmetry Analysis ◽

Nonlinear Schrödinger

Download Full-text

Lie symmetry analysis for complex soliton solutions of coupled complex short pulse equation

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7105 ◽

2021 ◽

Author(s):

Vikas Kumar ◽

Abdul‐Majid Wazwaz

Keyword(s):

Short Pulse ◽

Soliton Solutions ◽

Lie Symmetry ◽

Symmetry Analysis ◽

Lie Symmetry Analysis ◽

Short Pulse Equation

Download Full-text

Lie symmetry analysis of a stochastic gene evolution in double-chain deoxyribonucleic acid system

Waves in Random and Complex Media ◽

10.1080/17455030.2020.1871109 ◽

2021 ◽

pp. 1-15

Author(s):

R. Saleh ◽

S. M. Mabrouk ◽

Abdul-Majid Wazwaz

Keyword(s):

Deoxyribonucleic Acid ◽

Gene Evolution ◽

Lie Symmetry ◽

Symmetry Analysis ◽

Acid System ◽

Lie Symmetry Analysis ◽

Download Full-text

Lie symmetry analysis and similarity solutions for the Camassa–Choi equations

Analysis and Mathematical Physics ◽

10.1007/s13324-021-00492-6 ◽

2021 ◽

Vol 11 (2) ◽

Author(s):

Andronikos Paliathanasis

Keyword(s):

Similarity Solutions ◽

Lie Symmetry ◽

Symmetry Analysis ◽

Lie Symmetry Analysis

Download Full-text

Lie symmetry analysis, conservation laws and solitary wave solutions to a fourth-order nonlinear generalized Boussinesq water wave equation

Applied Mathematics Letters ◽

10.1016/j.aml.2019.106056 ◽

2020 ◽

Vol 100 ◽

pp. 106056 ◽

Author(s):

Shou-Fu Tian

Keyword(s):

Wave Equation ◽

Solitary Wave ◽

Conservation Laws ◽

Fourth Order ◽

Lie Symmetry ◽

Symmetry Analysis ◽

Solitary Wave Solutions ◽

Lie Symmetry Analysis ◽

Download Full-text

Lie symmetry analysis for classification on pattern in excitable media

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2005.09.018 ◽

2006 ◽

Vol 28 (5) ◽

pp. 1188-1195 ◽

Author(s):

Souichi Murata ◽

Hiroyasu Yamada

Keyword(s):

Lie Symmetry ◽

Symmetry Analysis ◽

Excitable Media ◽

Lie Symmetry Analysis

Download Full-text

Some exact invariant solutions and dynamical structures of multiple solitons for the (2+1)-dimensional Bogoyavlensky-Konopelchenko equation with variable coefficients using Lie symmetry analysis

Chinese Journal of Physics ◽

10.1016/j.cjph.2021.03.021 ◽

2021 ◽

Vol 71 ◽

pp. 518-538

Author(s):

Sachin Kumar ◽

Lakhveer Kaur ◽

Monika Niwas

Keyword(s):

Variable Coefficients ◽

Lie Symmetry ◽

Symmetry Analysis ◽

Invariant Solutions ◽

Lie Symmetry Analysis ◽

Exact Invariant

Download Full-text

Lie symmetry analysis, abundant exact solutions and dynamics of multisolitons to the $$(2+1)$$-dimensional KP-BBM equation

Pramana ◽

10.1007/s12043-020-02057-x ◽

2021 ◽

Vol 95 (1) ◽

Author(s):

Sachin Kumar ◽

Dharmendra Kumar ◽

Harsha Kharbanda

Keyword(s):

Exact Solutions ◽

Lie Symmetry ◽

Symmetry Analysis ◽

Lie Symmetry Analysis ◽

Download Full-text