Modified Kudryashov Method to Solve Generalized Kuramoto-Sivashinsky Equation

被引：25
|
作者：
Kilicman, Adem [1 ]
Silambarasan, Rathinavel [2 ]
机构：
[1] Univ Putra Malaysia, Fac Sci, Dept Math, Upm Serdang 43400, Malaysia
[2] Vellore Inst Technol, Sch Informat Technol & Engn, Dept Informat Technol, Vellore 632014, Tamil Nadu, India
来源：
SYMMETRY-BASEL | 2018年 / 10卷 / 10期
关键词：
generalized Kuramoto-Sivashinsky equation; modified Kudryashov method; exact solutions; Maple graphs; SOLITARY WAVE SOLUTIONS; NUMERICAL-SOLUTIONS; EXPANSION METHOD;
D O I：
10.3390/sym10100527
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The generalized Kuramoto-Sivashinsky equation is investigated using the modified Kudryashov method for the new exact solutions. The modified Kudryashov method converts the given nonlinear partial differential equation to algebraic equations, as a result of various steps, which upon solving the so-obtained equation systems yields the analytical solution. By this way, various exact solutions including complex structures are found, and their behavior is drawn in the 2D plane by Maple to compare the uniqueness and wave traveling of the solutions.
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页数：15
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