Some new exact wave solutions and conservation laws of potential Korteweg-de Vries equation

Triki H., AK T., EKİCİ M., SÖNMEZOĞLU A., Mirzazadeh M., Kara A. H., ...More

NONLINEAR DYNAMICS, vol.89, no.1, pp.501-508, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 89 Issue: 1
  • Publication Date: 2017
  • Doi Number: 10.1007/s11071-017-3467-4
  • Journal Name: NONLINEAR DYNAMICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.501-508
  • Keywords: P-KdV equation, Kudryashov method, Sine-cosine method, Conservation laws, FINDING EXACT-SOLUTIONS, SUB-ODE METHOD, KDV EQUATIONS, MKDV EQUATION, COUPLED KDV, SOLITONS, EVOLUTION
  • Yozgat Bozok University Affiliated: Yes

Abstract

The potential Korteweg-de Vries equation is investigated by using the sine-cosine method and generalized Kudryashov method. A variety of exact wave solutions that contain shock solutions, periodic solutions and solitons solutions are formally derived. Also, conservation laws of the equation is determined by using the multiplier approach. In addition, the restrictions on the physical parameters of obtained solutions are presented.