A (2+1)-dimensional breaking soliton equation: Solutions and conservation laws

Yildirim Y., YAŞAR E.

CHAOS SOLITONS & FRACTALS, cilt.107, ss.146-155, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 107
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1016/j.chaos.2017.12.016
  • Dergi Adı: CHAOS SOLITONS & FRACTALS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.146-155
  • Anahtar Kelimeler: (2+1)-Dimensional breaking soliton equation, Symmetry analysis, Exact solutions, Kudryashov's simplest equation methods, Optical soliton solution, Conservation laws, NONLINEAR DIFFERENTIAL-EQUATIONS, COMPUTATION, SYMMETRIES, EXAMPLES
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper, we consider a (2+1)-dimensional breaking soliton equation which describe the (2+1)dimensional interaction of the Riemann wave propagating along the y-axis with a long wave along the x-axis. By the Lie group analysis, the Lie point symmetry generators and symmetry reductions were deduced. From the viewpoint of exact solutions, we have performed two distinct methods to the equation for getting some exact solutions. Kudryashov's simplest methods and ansatz method with the assistance of Maple were carried out. The local conservation laws are also constructed by multiplier/homotopy methods. Finally, the graphical simulations of the exact solutions are depicted. (C) 2017 Elsevier Ltd. All rights reserved.