New classes of non-convolution integral equations arising from Lie symmetry analysis of hyperbolic PDEs

Journal of Differential Equations ◽

10.1016/j.jde.2017.08.012 ◽

2017 ◽

Vol 263 (11) ◽

pp. 7412-7447 ◽

Author(s):

Mark Craddock ◽

Semyon Yakubovich

Keyword(s):

Integral Equations ◽

Lie Symmetry ◽

Symmetry Analysis ◽

Convolution Integral ◽

Lie Symmetry Analysis ◽

Hyperbolic Pdes ◽

Convolution Integral Equations

Download Full-text

Lie symmetry analysis of two dimensional weakly singular integral equations

Journal of Geometry and Physics ◽

10.1016/j.geomphys.2021.104385 ◽

2021 ◽

pp. 104385

Author(s):

S. Pashayi ◽

S. Shahmorad ◽

M.S. Hashemi ◽

M. Inc

Keyword(s):

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Lie Symmetry ◽

Symmetry Analysis ◽

Two Dimensional ◽

Lie Symmetry Analysis ◽

Weakly Singular ◽

Weakly Singular Integral Equations

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

Lie Symmetry Analysis of the Inhomogeneous Toda Lattice Equation via Semi-Discrete Exterior Calculus

Communications in Theoretical Physics ◽

10.1088/0253-6102/67/6/643 ◽

2017 ◽

Vol 67 (6) ◽

pp. 643 ◽

Author(s):

Jiang Liu ◽

Deng-Shan Wang ◽

Yan-Bin Yin

Keyword(s):

Toda Lattice ◽

Lie Symmetry ◽

Symmetry Analysis ◽

Lie Symmetry Analysis ◽

Lattice Equation ◽

Discrete Exterior Calculus ◽

Exterior Calculus ◽

Toda Lattice Equation

Download Full-text