Communications in Theoretical Physics ›› 2022, Vol. 74 ›› Issue (2): 025001. doi: 10.1088/1572-9494/ac4411

• Mathematical Physics •     Next Articles

The Sharma-Tasso-Olver-Burgers equation: its conservation laws and kink solitons

K Hosseini1,(),A Akbulut2,D Baleanu3,4,S Salahshour5   

  1. 1Department of Mathematics, Near East University TRNC, Mersin 10, Turkey
    2Department of Mathematics-Computer, Art-Science Faculty, Eskisehir Osmangazi University, Eskisehir, Turkey
    3Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, Ankara 06530, Turkey
    4Institute of Space Sciences, Magurele-Bucharest, Romania
    5Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey
  • Received: 2021-09-17 Revised: 2021-12-16 Accepted: 2021-12-17 Published: 2022-02-01
  • Contact: K Hosseini E-mail:kamyar_hosseini@yahoo.com

Abstract:

The present paper deals with the Sharma–Tasso–Olver–Burgers equation (STOBE) and its conservation laws and kink solitons. More precisely, the formal Lagrangian, Lie symmetries, and adjoint equations of the STOBE are firstly constructed to retrieve its conservation laws. Kink solitons of the STOBE are then extracted through adopting a series of newly well-designed approaches such as Kudryashov and exponential methods. Diverse graphs in 2 and 3D postures are formally portrayed to reveal the dynamical features of kink solitons. According to the authors’ knowledge, the outcomes of the current investigation are new and have been listed for the first time.

Key words: Sharma–Tasso–Olver–Burgers equation, conservation laws, Kudryashov and exponential methods, kink solitons, dynamical features