Exact Solutions of Kolmogorov-Petrovskii-Piskunov Equation Using the Modified Simple Equation Method

被引：1

作者：

E.M.E.Zayed ^{[1
]}

S.A.Hoda Ibrahim ^{[1
]}

机构：

[1] Mathematics Department,Faculty of Science,Zagazig University

来源：

Acta Mathematicae Applicatae Sinica | 2014年 / 03期

关键词：

modified simple equation method; Kolmogorov-Petrovskii-Piskunov equation; exact solutions; solitary wave solutions;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

The modified simple equation method is employed to find the exact solutions of the nonlinear Kolmogorov-Petrovskii-Piskunov(KPP) equation.When certain parameters of the equations are chosen to be special values,the solitary wave solutions are derived from the exact solutions.It is shown that the modified simple equation method provides an effective and powerful mathematical tool for solving nonlinear evolution equations in mathematical physics.

引用

页码：749 / 754

页数：6

共 50 条

[31] Wave Propagation in the Kolmogorov-Petrovskii-Piskunov Problem with Delay
Aleshin, S. V.
Glyzin, S. D.
Kashchenko, S. A.
[J]. DOKLADY MATHEMATICS, 2017, 96 (03) : 636 - 640
[32] An Approximate Solution of Fractional Kolmogorov-Petrovskii-Piskunov Equations
Khan, Sumaira Yousuf
Altaf, Sahar
[J]. MATEMATIKA, 2019, 35 (03) : 377 - 385
[33] The homotopy perturbation method applied to the nonlinear fractional Kolmogorov-Petrovskii-Piskunov equations
Gepreel, Khaled A.
[J]. APPLIED MATHEMATICS LETTERS, 2011, 24 (08) : 1428 - 1434
[34] ANALYTICAL METHODS FOR NON-LINEAR FRACTIONAL KOLMOGOROV-PETROVSKII-PISKUNOV EQUATION Soliton Solution and Operator Solution
Xu, Bo
Zhang, Yufeng
Zhang, Sheng
[J]. THERMAL SCIENCE, 2021, 25 (03): : 2161 - 2168
[35] The homotopy analysis method applied to the Kolmogorov-Petrovskii-Piskunov (KPP) and fractional KPP equations
Hariharan, G.
[J]. JOURNAL OF MATHEMATICAL CHEMISTRY, 2013, 51 (03) : 992 - 1000
[36] Numerical methods for the generalized Fisher-Kolmogorov-Petrovskii-Piskunov equation
Branco, J. R.
Ferreira, J. A.
de Oliveira, P.
[J]. APPLIED NUMERICAL MATHEMATICS, 2007, 57 (01) : 89 - 102
[37] On the solution of boundary-value problems of Kolmogorov-Petrovskii-Piskunov type
Suleimanov, B. I.
[J]. MATHEMATICAL NOTES, 2008, 83 (3-4) : 564 - 572
[38] On the solution of boundary-value problems of Kolmogorov-Petrovskii-Piskunov type
B. I. Suleimanov
[J]. Mathematical Notes, 2008, 83 : 564 - 572
[39] On semi analytical and numerical simulations for a mathematical biological model; the time-fractional nonlinear Kolmogorov-Petrovskii-Piskunov (KPP) equation
Khater, Mostafa M. A.
Mohamed, Mohamed S.
Attia, Raghda A. M.
[J]. CHAOS SOLITONS & FRACTALS, 2021, 144
[40] Approximate Solutions of the One-Dimensional Fisher–Kolmogorov–Petrovskii– Piskunov Equation with Quasilocal Competitive Losses
A. V. Shapovalov
[J]. Russian Physics Journal, 2018, 60 : 1461 - 1468

← 1 2 3 4 5 →