Novel hyperbolic behaviors to some important models arising in quantum science

Bulut H., Sulaiman T. A., Baskonus H. M., Yazgan T.

OPTICAL AND QUANTUM ELECTRONICS, cilt.49, sa.11, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 11
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s11082-017-1181-6
  • Dergi Adı: OPTICAL AND QUANTUM ELECTRONICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: The sine-Gordon expansion method, Modified Zakharov-Kuznetsov equation, (2+1)-Dimensional cubic, Hyperbolic function solution, NONLINEAR EVOLUTION-EQUATIONS, VARIATIONAL ITERATION METHOD, ZAKHAROV-KUZNETSOV EQUATION, TRAVELING-WAVE SOLUTIONS, EXTENDED TANH METHOD, 1ST INTEGRAL METHOD, EXP-FUNCTION METHOD, MATHEMATICAL PHYSICS, KUDRYASHOV METHOD, TOOL
  • Atatürk Üniversitesi Adresli: Hayır

Özet

In this study, with the help of Wolfram Mathematica 9 software, the powerful sine-Gordon expansion method is used in constructing new hyperbolic function solutions to the two well known nonlinear differential equations that arise in the field of nonlinear sciences, namely; the modified Zakharov-Kuznetsov and the (2+1)-dimensional cubic Klein-Gordon equations. We also plot the two-and three-dimensional graphics of all the obtained solutions in this paper by utilizing the same program in the Wolfram Mathematica 9 software.