New variable separation solutions of two-dimensional Burgers system

2011 ◽  
Vol 217 (22) ◽  
pp. 9189-9197 ◽  
Author(s):  
Yusuf Gurefe ◽  
Emine Misirli
Keyword(s):  
Two Dimensional ◽  
Variable Separation ◽  
Burgers System

Exact Solutions and Localized Excitations of Burgers System in (3+1) Dimensions

2011 ◽  
Vol 66 (6-7) ◽  
pp. 383-391 ◽  
Author(s):  
Chun-Long Zheng ◽  
Hai-Ping Zhu
Keyword(s):  
Linear System ◽  
Exact Solutions ◽  
The Novel ◽  
Variable Separation ◽  
Linear Superposition ◽  
Localized Excitations ◽  
New Type ◽  
Superposition Theorem ◽  
Burgers System

With the help of a Cole-Hopf transformation, the nonlinear Burgers system in (3+1) dimensions is reduced to a linear system. Then by means of the linear superposition theorem, a general variable separation solution to the Burgers system is obtained. Finally, based on the derived solution, a new type of localized structure, i.e., a solitonic bubble is revealed and some evolutional properties of the novel localized structure are briefly discussed

Bell Waves and Kind Waves for a (1+1)-Dimensional Nonlinear Partial Differential Equation

2013 ◽  
Vol 273 ◽  
pp. 831-834
Author(s):  
Qing Bao Ren ◽  
Song Hua Ma ◽  
Jian Ping Fang
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Solitary Wave ◽  
Wave Solution ◽  
Solitary Wave Solution ◽  
Nonlinear Partial Differential Equation ◽  
Variable Separation ◽  
New Family ◽  
Variable Separation Approach ◽  
Burgers System

With the help of the symbolic computation system Maple and the mapping approach and a linear variable separation approach, a new family of exact solutions of the (1+1)-dimensional Burgers system is derived. Based on the derived solitary wave solution, some novel bell wave and kind wave excitations are investigated.

scholarly journals New variable separation solutions, localized structures and fractals in the (3+1)-dimensional nonlinear Burgers system

2007 ◽  
Vol 56 (2) ◽  
pp. 611
Author(s):  
Huang Lei ◽  
Sun Jian-An ◽  
Dou Fu-Quan ◽  
Duan Wen-Shan ◽  
Liu Xing-Xia
Keyword(s):  
Variable Separation ◽  
Localized Structures ◽  
Burgers System

scholarly journals Enhanced Symmetry Analysis of Two-Dimensional Burgers System

2018 ◽  
Vol 163 (1) ◽  
pp. 91-128 ◽  
Author(s):  
Stavros Kontogiorgis ◽  
Roman O. Popovych ◽  
Christodoulos Sophocleous
Keyword(s):  
Symmetry Analysis ◽  
Two Dimensional ◽  
Burgers System

Study of the New Solitory Wave Solutions and Periodic Wave Solutions of a Two-Dimensional Modified KdV Equation

2013 ◽  
Vol 432 ◽  
pp. 122-126
Author(s):  
Mei Ling Gu ◽  
Zhi Hua Zhu ◽  
Song Hua Ma
Keyword(s):  
Kdv Equation ◽  
Periodic Wave ◽  
Mkdv Equation ◽  
Separation Method ◽  
Two Dimensional ◽  
Variable Separation ◽  
Periodic Wave Solutions ◽  
Wave Solutions ◽  
Modified Kdv Equation ◽  
Variable Separation Method

With the help of the Riccati mapping approach and the variable separation method, some new solitory wave solutions and periodic wave solutions of the two-dimensional modified KdV(MKdV) equation are derived.

Singularities of complex-valued solutions of the two-dimensional Burgers system

2010 ◽  
Vol 51 (1) ◽  
pp. 015205 ◽  
Author(s):  
Dong Li ◽  
Yakov G. Sinai
Keyword(s):  
Two Dimensional ◽  
Complex Valued ◽  
Burgers System
Sign in / Sign up

Export Citation Format

Share Document