The exp(-&phi;(&xi;))-Expansion Method and Its Application for Solving Nonlinear Evolution Equations

The exp(-&phi;(&xi;))-Expansion Method and Its Application for Solving Nonlinear Evolution Equations

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摘要 The exp(-φ(ξ))-expansion method is used as the first time to investigate the wave solution of a nonlinear dynamical system in a new double-Chain model of DNA and a diffusive predator-prey system. The proposed method also can be used for many other nonlinear evolution equations. The exp(-φ(ξ))-expansion method is used as the first time to investigate the wave solution of a nonlinear dynamical system in a new double-Chain model of DNA and a diffusive predator-prey system. The proposed method also can be used for many other nonlinear evolution equations.

作者 Mahmoud A. E. Abdelrahman Emad H. M. Zahran Mostafa M. A. Khater

机构地区 Department of Mathematics Department of Mathematical and Physical Engineering

出处《International Journal of Modern Nonlinear Theory and Application》 2015年第1期37-47,共11页 现代非线性理论与应用（英文）

关键词 Dynamical SYSTEM in a New DOUBLE-CHAIN Model of DNA A Diffusive Predator-Prey SYSTEM Traveling WAVE SOLUTIONS Solitary WAVE SOLUTIONS Kink-Anti KINK Shaped Dynamical System in a New Double-Chain Model of DNA A Diffusive Predator-Prey System Traveling Wave Solutions Solitary Wave Solutions Kink-Anti Kink Shaped

分类号 O1 [理学—基础数学]

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二级参考文献24

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共引文献7

1查良松.关于一个新的DNA双链模型的动力学方程的精确解[J].内蒙古大学学报（自然科学版）,2004,35(6):632-636.
2ZAYED Elsayed M. E.,ARNOUS Ahmed H..Many Families of Exact Solutions for Nonlinear System of Partial Differential Equations Describing the Dynamics of DNA[J].Journal of Partial Differential Equations,2013,26(4):373-384.
3周兰锁,尹晓军.一类5阶KdV方程的孤立波解[J].应用数学,2019,32(2):376-381. 被引量：3
4Maha S. M. Shehata.The exp<span style="font-family:Symbol;font-size:11pt;">(-j(x))</span>Method and Its Applications for Solving Some Nonlinear Evolution Equations in Mathematical Physics[J].American Journal of Computational Mathematics,2015,5(4):468-480. 被引量：2
5Maha S. M. Shehata,Emad H. M. Zahran.The Solitary Wave Solutions of Important Model in Particle Physics and Engineering According to Two Different Techniques[J].American Journal of Computational Mathematics,2019,9(4):317-327.
6Emad H. M. Zahran,Mostafa M. A. Khater.Extended Jacobian Elliptic Function Expansion Method and Its Applications in Biology[J].Applied Mathematics,2015,6(7):1174-1181.
7Emad H. M. Zahran.Exact Traveling Wave Solutions of Nano-Ionic Solitons and Nano-Ionic Current of MTs Using the exp(-φ (ξ ))-Expansion Method[J].Advances in Nanoparticles,2015,4(2):25-36.

1Emad H. M. Zahran,Mostafa M. A. Khater.Extended Jacobian Elliptic Function Expansion Method and Its Applications in Biology[J].Applied Mathematics,2015,6(7):1174-1181.
2Jaykov Foukzon.New Scenario for Transition to Slow 3-D Turbulence[J].Journal of Applied Mathematics and Physics,2015,3(3):371-389.
3G. Liu,Z. R. Lv,Y. M. Chen.Improving Wilson-θ and Newmark-β Methods for Quasi-Periodic Solutions of Nonlinear Dynamical Systems[J].Journal of Applied Mathematics and Physics,2018,6(8):1625-1635. 被引量：1
4Gregory N. Derry,Paula S. Derry.Age Dependence of the Menstrual Cycle Correlation Dimension[J].Open Journal of Biophysics,2012,2(2):40-45.
5Tarek Aboueldahab,Mahumod Fakhreldin.Identification and Adaptive Control of Dynamic Nonlinear Systems Using Sigmoid Diagonal Recurrent Neural Network[J].Intelligent Control and Automation,2011,2(3):176-181.
6Denis Blackmore,Yarema Prykarpatsky,Jolanta Golenia,Anatoli Prykapatski.Hidden Symmetries of Lax Integrable Nonlinear Systems[J].Applied Mathematics,2013,4(10):95-116.

International Journal of Modern Nonlinear Theory and Application

2015年第1期

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The exp(-&phi;(&xi;))-Expansion Method and Its Application for Solving Nonlinear Evolution Equations

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The exp(-&amp;phi;(&amp;xi;))-Expansion Method and Its Application for Solving Nonlinear Evolution Equations

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The exp(-φ(ξ))-Expansion Method and Its Application for Solving Nonlinear Evolution Equations