Closed form soliton solutions of three nonlinear fractional models through proposed improved Kudryashov method

• 作者: Zillur Rahman M Zulfikar Ali Harun-Or Roshid
• 来源期刊: 中国物理B（英文版）
• 年，卷（期）: 2021,（5）
• 所属期刊栏目: GENERAL
• 页码范围: 215-229
• 页数: 15页
• 语种: 英文
• DOI: 10.1088/1674-1056/abd165

摘要

We introduce a new integral scheme namely improved Kudryashov method for solving any nonlinear fractional differ-ential model.Specifically,we apply the approach to the nonlinear space-time fractional model leading the wave to spread in electrical transmission lines (s-tfETL),the time fractional complex Schr(o)dinger (tfcS),and the space-time M-fractional Schr(o)dinger-Hirota (s-tM-fSH) models to verify the effectiveness of the proposed approach.The implementing of the introduced new technique based on the models provides us with periodic envelope,exponentially changeable soliton enve-lope,rational rogue wave,periodic rogue wave,combo periodic-soliton,and combo rational-soliton solutions,which are much interesting phenomena in nonlinear sciences.Thus the results disclose that the proposed technique is very effective and straight-forward,and such solutions of the models are much more fruitful than those from the generalized Kudryashov and the modified Kudryashov methods.