New and More Solitary Wave Solutions for the Klein-Gordon-Schrödinger Model Arising in Nucleon-Meson Interaction

Frontiers in Physics

Dumitru Baleanu¹  Asma Rashid Butt²  Nauman Raza³  Saima Arshed³ 

[1] Department of Mathematics, Cankaya University, Ankara, Turkey;Institute of Space Sciences, Magurele-Bucharest, Romania;Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan;Department of Mathematics, University of Engineering and Technology, Lahore, Pakistan;Department of Mathematics, University of the Punjab, Lahore, Pakistan;

关键词: traveling wave solution;    tanh-coth method;    e;    Kudryashov's method;    Klein-Gordon-Schrödinger equation;   

DOI  :  10.3389/fphy.2021.637964

来源: Frontiers

【 摘 要 】

This paper considers methods to extract exact, explicit, and new single soliton solutions related to the nonlinear Klein-Gordon-Schrödinger model that is utilized in the study of neutral scalar mesons associated with conserved scalar nucleons coupled through the Yukawa interaction. Three state of the art integration schemes, namely, the e−Φ(ξ)-expansion method, Kudryashov's method, and the tanh-coth expansion method are employed to extract bright soliton, dark soliton, periodic soliton, combo soliton, kink soliton, and singular soliton solutions. All the constructed solutions satisfy their existence criteria. It is shown that these methods are concise, straightforward, promising, and reliable mathematical tools to untangle the physical features of mathematical physics equations.

【 授权许可】

CC BY