Exact Solutions of Damped Improved Boussinesq Equations by Extended (G′/G)-Expansion Method

被引：7
|
作者：
Fan, Kai [1 ,2 ,3 ,4 ]
Zhou, Cunlong [1 ,2 ,3 ]
机构：
[1] Taiyuan Univ Sci & Technol, Engn Res Ctr, Heavy Machinery Minist Educ, Taiyuan 030024, Peoples R China
[2] Taiyuan Univ Sci & Technol, Mech Engn Coll, Taiyuan 030024, Peoples R China
[3] Taiyuan Univ Sci & Technol, Shanxi Prov Key Lab Met Device Design Theory & Te, Taiyuan 030024, Peoples R China
[4] Taiyuan Univ Sci & Technol, Appl Sci Coll, Taiyuan 030024, Peoples R China
来源：
COMPLEXITY | 2020年 / 2020卷
关键词：
TRAVELING-WAVE SOLUTIONS; GENERALIZED IBQ EQUATION; ASYMPTOTIC-BEHAVIOR; EXPANSION METHOD; DYNAMICS; SOLITONS; KDV;
D O I：
10.1155/2020/4128249
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
With the help of the auxiliary function method, we solved the improved Boussinesq (IBq) equation with fluid dynamic damping and the modified IBq (IMBq) equation with Stokes damping, and we obtained their three types of travelling wave exact solutions, which is an extension service of the numerical simulation and the existence of a solution. From the waveform diagram of IBq equation with hydrodynamic damping, it can be seen that when the propagation velocity of kink wave changes, the amplitude also changes significantly, and it is also found that the kink isolated waveform is significantly asymmetric due to the increase of damping coefficient v, which may be of some value in explaining some physical phenomena. In addition, the symbolic computing software maple makes our computing work easier.
引用
收藏
页数：14
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