BibTex RIS Kaynak Göster

Application of simplest equation method to the (2+1)-dimensional nonlinear evolution equations

Yıl 2014, Cilt: 2 Sayı: 2, 64 - 68, 01.08.2014

Hossein Jafari Nematollah Kadkhoda

Öz

In this paper, the simplest equation method has been used for finding the general exact solutions of nonlinear evolution equations that namely (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff( CBS) equation and (2+1)-dimensional breaking soliton equation (BS) when the simplest equation is the equation of Riccati

Anahtar Kelimeler

Simplest equation method Calogero-Bogoyavlenskii- Schiff breaking soliton equation Riccati equation

Kaynakça

  • Darvishi M., Najafi M., Najafi M. New application of EHTA for the generalized (2+1)-dimensional nonlinear evolution equations. 6(3), (2010)132-138.
  • Duranda M, Langevin D. Physicochemical approach to the theory of foam drainage. The European Physical Journal E 7(1), (2002) 35-44.
  • Fan E. Extended tanh-function method and its applications to nonlinear equations. physic letter A 277(4-5), (2000) 212-218.
  • Hone ANW. Painleve tests, singularity structure and integrability. Lect Notes Physics . (2009) . 767 245-277.
  • Jafari H, Kadkhoda N, Biswas A. The -expansion method for solutions of evolution equations from isothermal magnetostatic atmospheres. Journal of King Saud University – Science [In Press]. Kudryashov NA. On types of nonlinear integrable equations with exact solutions. physic letter A 155(4–5), (1991) 269-275.
  • Kudryashov NA. Simplest equation method to look for exact solutions of nonlinear differential equations. Chaos, Solitons & Fractals 24(5), (2005) 1217-1231.
  • Kudryashov NALoguinova NB. Extended simplest equation method for nonlinear differential equations. Applied Mathematics and Computation 205 (1),(2008) 396-402.
  • Ostrovsky LANonlinear internal waves in a rotating ocean. Okeanologiya 1978;18:181-91 [in Russian] (Engl transl: Oceanology 18 119- 125) (1978).
  • Salehpour1 E, Jafari H, Kadkhoda N. Application of -expansion method to nonlinear Lienard equation. Indian Jour of Science and Technology 5(4), (2012) 2554-2556.
  • Wazwaz A.M. New solutions of distinct physical structures to highdimensional nonlinear evolution equations, Applied Mathematics and Computation 196(1) (2008) 363–370.
  • Wazwaz A.M. The (2+1) and (3+1)-Dimensional CBS Equations: Multiple Soliton Solutions and Multiple Singular Soliton Solutions, Zeitschrift fur Naturforschung A 65a, (2010) 173–181.
  • Wazwaz A.M Multiple-soliton solutions for the Calogero-Bogoyavlenskii-Schiff, Jimbo-Miwa and YTSF equations, Applied Mathematics and Computation 203(2), (2008) 592–597.
  • Wazwaz A.M. The tanh-coth method for solitons and kink solutions fornon-linear parabolic equations, Applied Mathematics and Computation 188(2), (2007) 1467-1475.
  • Wazwaz A.M. A sine-cosine method for handling nonlinear wave equations. Mathematical and Computer Modelling 40(5-6) ,(2004) 499- 50

Application of simplest equation method to the (2+1)-dimensional nonlinear evolution equations

Yıl 2014, Cilt: 2 Sayı: 2, 64 - 68, 01.08.2014

Hossein Jafari Nematollah Kadkhoda

Öz

Kaynakça

  • Darvishi M., Najafi M., Najafi M. New application of EHTA for the generalized (2+1)-dimensional nonlinear evolution equations. 6(3), (2010)132-138.
  • Duranda M, Langevin D. Physicochemical approach to the theory of foam drainage. The European Physical Journal E 7(1), (2002) 35-44.
  • Fan E. Extended tanh-function method and its applications to nonlinear equations. physic letter A 277(4-5), (2000) 212-218.
  • Hone ANW. Painleve tests, singularity structure and integrability. Lect Notes Physics . (2009) . 767 245-277.
  • Jafari H, Kadkhoda N, Biswas A. The -expansion method for solutions of evolution equations from isothermal magnetostatic atmospheres. Journal of King Saud University – Science [In Press]. Kudryashov NA. On types of nonlinear integrable equations with exact solutions. physic letter A 155(4–5), (1991) 269-275.
  • Kudryashov NA. Simplest equation method to look for exact solutions of nonlinear differential equations. Chaos, Solitons & Fractals 24(5), (2005) 1217-1231.
  • Kudryashov NALoguinova NB. Extended simplest equation method for nonlinear differential equations. Applied Mathematics and Computation 205 (1),(2008) 396-402.
  • Ostrovsky LANonlinear internal waves in a rotating ocean. Okeanologiya 1978;18:181-91 [in Russian] (Engl transl: Oceanology 18 119- 125) (1978).
  • Salehpour1 E, Jafari H, Kadkhoda N. Application of -expansion method to nonlinear Lienard equation. Indian Jour of Science and Technology 5(4), (2012) 2554-2556.
  • Wazwaz A.M. New solutions of distinct physical structures to highdimensional nonlinear evolution equations, Applied Mathematics and Computation 196(1) (2008) 363–370.
  • Wazwaz A.M. The (2+1) and (3+1)-Dimensional CBS Equations: Multiple Soliton Solutions and Multiple Singular Soliton Solutions, Zeitschrift fur Naturforschung A 65a, (2010) 173–181.
  • Wazwaz A.M Multiple-soliton solutions for the Calogero-Bogoyavlenskii-Schiff, Jimbo-Miwa and YTSF equations, Applied Mathematics and Computation 203(2), (2008) 592–597.
  • Wazwaz A.M. The tanh-coth method for solitons and kink solutions fornon-linear parabolic equations, Applied Mathematics and Computation 188(2), (2007) 1467-1475.
  • Wazwaz A.M. A sine-cosine method for handling nonlinear wave equations. Mathematical and Computer Modelling 40(5-6) ,(2004) 499- 50
Toplam 14 adet kaynakça vardır.

Ayrıntılar

Bölüm Articles
Yazarlar

Hossein Jafari Bu kişi benim

Nematollah Kadkhoda Bu kişi benim

Yayımlanma Tarihi 1 Ağustos 2014
Yayımlandığı Sayı Yıl 2014 Cilt: 2 Sayı: 2

Kaynak Göster

APA Jafari, H., & Kadkhoda, N. (2014). Application of simplest equation method to the (2+1)-dimensional nonlinear evolution equations. New Trends in Mathematical Sciences, 2(2), 64-68.
AMA Jafari H, Kadkhoda N. Application of simplest equation method to the (2+1)-dimensional nonlinear evolution equations. New Trends in Mathematical Sciences. Ağustos 2014;2(2):64-68.
Chicago Jafari, Hossein, ve Nematollah Kadkhoda. “Application of Simplest Equation Method to the (2+1)-Dimensional Nonlinear Evolution Equations”. New Trends in Mathematical Sciences 2, sy. 2 (Ağustos 2014): 64-68.
EndNote Jafari H, Kadkhoda N (01 Ağustos 2014) Application of simplest equation method to the (2+1)-dimensional nonlinear evolution equations. New Trends in Mathematical Sciences 2 2 64–68.
IEEE H. Jafari ve N. Kadkhoda, “Application of simplest equation method to the (2+1)-dimensional nonlinear evolution equations”, New Trends in Mathematical Sciences, c. 2, sy. 2, ss. 64–68, 2014.
ISNAD Jafari, Hossein - Kadkhoda, Nematollah. “Application of Simplest Equation Method to the (2+1)-Dimensional Nonlinear Evolution Equations”. New Trends in Mathematical Sciences 2/2 (Ağustos 2014), 64-68.
JAMA Jafari H, Kadkhoda N. Application of simplest equation method to the (2+1)-dimensional nonlinear evolution equations. New Trends in Mathematical Sciences. 2014;2:64–68.
MLA Jafari, Hossein ve Nematollah Kadkhoda. “Application of Simplest Equation Method to the (2+1)-Dimensional Nonlinear Evolution Equations”. New Trends in Mathematical Sciences, c. 2, sy. 2, 2014, ss. 64-68.
Vancouver Jafari H, Kadkhoda N. Application of simplest equation method to the (2+1)-dimensional nonlinear evolution equations. New Trends in Mathematical Sciences. 2014;2(2):64-8.