An Investigation for Soliton Solutions of the Extended (2+1)-Dimensional Kadomtsev–Petviashvili Equation

Authors : Melih Çınar

Pages : 242-247

Doi:10.35414/akufemubid.1333304

View : 115 | Download : 153

Publication Date : 2024-02-27

Article Type : Research Paper

Abstract :This article presents an investigation for soliton solutions of the extended (2+1)-dimensional Kadomtsev–Petviashvili equation which describes wave behavior in shallow water. We utilize the unified Riccati equation expansion method. By employing the powerful method, many soliton solutions are successfully derived, and it is verified by Wolfram Mathematica that the solutions satisfy the main equation. Additionally, Matlab is utilized to generate plots and examine the properties of the obtained solitons. The results reveal that the considered equation exhibits a wide range of soliton solutions, including dark, bright, singular, and periodic solutions. This comprehensive investigation of soliton solutions for the Kadomtsev–Petviashvili equation holds significant relevance in various fields such as oceanography and nonlinear optics, contributing to practical applications.
Keywords : Doğrusal olmayan optik, Birleşik Riccati denklemi genişletme yöntemini, Sığ su dalgaları, KadomtsevPetviashvili Denklemi