New solitons and periodic solutions for nonlinear physical models in mathematical physics

Bekir A., ÇEVİKEL A. C.

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, cilt.11, sa.4, ss.3275-3285, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 4
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.nonrwa.2009.10.015
  • Dergi Adı: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3275-3285
  • Anahtar Kelimeler: Solitons, Sine-cosine method, Exp-function method, The generalized Zakharov equations, The (2+1)-dimensional, Davey-Stewartson equations, EXP-FUNCTION METHOD, F-EXPANSION METHOD, PARTIAL-DIFFERENTIAL-EQUATIONS, TANH-FUNCTION METHOD, SINE-COSINE METHOD, TRAVELING-WAVE SOLUTIONS, ELLIPTIC FUNCTION-METHOD, EVOLUTION-EQUATIONS, MEW EQUATION, LATTICE
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we establish exact solutions for three nonlinear equations. The sine-cosine and the exp-function methods are used to construct periodic and soliton solutions of nonlinear physical models. Many new families of exact traveling wave solutions of the nonlinear wave equations are successfully obtained. These solutions may be of significance for the explanation of some practical physical problems. It is shown that the sine-cosine and the exp-function methods provide a powerful mathematical tool for solving a great many nonlinear partial differential equations in mathematical physics. (C) 2009 Elsevier Ltd. All rights reserved.