Group classification and exact solutions of variable-coefficient generalized Burgers equations with linear damping

Group Classification and Exact Solutions of a Class of Variable Coefficient Nonlinear Wave Equations

Chinese Physics Letters ◽

10.1088/0256-307x/26/5/050202 ◽

2009 ◽

Vol 26 (5) ◽

pp. 050202 ◽

Author(s):

Huang Ding-Jiang ◽

Mei Jian-Qin ◽

Zhang Hong-Qing

Keyword(s):

Exact Solutions ◽

Nonlinear Wave ◽

Variable Coefficient ◽

Wave Equations ◽

Group Classification ◽

Nonlinear Wave Equations

Equivalence groupoid and group classification of a class of variable-coefficient Burgers equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2020.124215 ◽

2020 ◽

Vol 491 (1) ◽

pp. 124215

Author(s):

Stanislav Opanasenko ◽

Alexander Bihlo ◽

Roman O. Popovych

Keyword(s):

Variable Coefficient ◽

Group Classification ◽

On the exact solutions and numerical simulation of the non-homogeneous Burgers equations

Authorea ◽

10.22541/au.158169816.61992860 ◽

2020 ◽

Author(s):

Latifa Ait Mahiout ◽

Yassine Benia

Keyword(s):

Numerical Simulation ◽

Exact Solutions ◽

Exact Solutions to the Boussinesq-Burgers Equations

Journal of Applied Mathematics and Physics ◽

10.4236/jamp.2017.59145 ◽

2017 ◽

Vol 05 (09) ◽

pp. 1720-1724 ◽

Author(s):

Xiangzheng Li ◽

Baoan Li ◽

Jinlan Chen ◽

Mingliang Wang

Keyword(s):

Exact Solutions ◽

Exact solutions of the variable coefficient kdV and sg type equations

Applied Mathematics-A Journal of Chinese Universities ◽

10.1007/s11766-998-0004-8 ◽

1998 ◽

Vol 13 (1) ◽

pp. 25-30 ◽

Author(s):

Liu Xiqiang

Keyword(s):

Exact Solutions ◽

Variable Coefficient

Painlevé analysis, group classification and exact solutions to the nonlinear wave equations

The European Physical Journal B ◽

10.1140/epjb/e2020-100402-6 ◽

2020 ◽

Vol 93 (2) ◽

Cited By ~ 1

Author(s):

Hanze Liu ◽

Cheng-Lin Bai ◽

Xiangpeng Xin

Keyword(s):

Exact Solutions ◽

Nonlinear Wave ◽

Wave Equations ◽

Group Classification ◽

Nonlinear Wave Equations ◽

Painlevé Analysis ◽

Analysis Group ◽

Painleve Analysis

Enhanced group classification of Benjamin–Bona–Mahony–Burgers equations

Applied Mathematics Letters ◽

10.1016/j.aml.2016.09.015 ◽

2017 ◽

Vol 65 ◽

pp. 19-25 ◽

Cited By ~ 3

Author(s):

Olena Vaneeva ◽

Severin Pošta ◽

Christodoulos Sophocleous

Keyword(s):

Group Classification ◽

Symbolic computation of conservation laws and exact solutions of a coupled variable-coefficient modified Korteweg–de Vries system

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542516040023 ◽

2016 ◽

Vol 56 (4) ◽

pp. 650-660 ◽

Cited By ~ 3

Author(s):

Abdullahi Rashid Adem ◽

Chaudry Masood Khalique

Keyword(s):

Conservation Laws ◽

Exact Solutions ◽

Symbolic Computation ◽

Variable Coefficient ◽

De Vries

A Novel Lie Group Classification Method for Generalized Cylindrical KdV Type of Equation: Exact Solutions and Conservation Laws

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-019-0460-3 ◽

2019 ◽

Vol 21 (4) ◽

Author(s):

Hanze Liu ◽

Cheng-Lin Bai ◽

Xiangpeng Xin ◽

Lijun Zhang

Keyword(s):

Conservation Laws ◽

Exact Solutions ◽

Lie Group ◽

Group Classification ◽

Classification Method ◽

Lie Group Classification

The generalized Cole–Hopf transformation to a general variable coefficient Burgers equation with linear damping term

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106299 ◽

2020 ◽

Vol 105 ◽

pp. 106299

Author(s):

Mingliang Wang ◽

Jinliang Zhang ◽

Erqiang Li ◽

Xiaofei Xin

Keyword(s):

Variable Coefficient ◽

Burgers Equation ◽

Damping Term ◽

Linear Damping