Exact solutions for nonlinear variants of Kadomtsev–Petviashvili (𝑛, 𝑛) equation using functional variable method

Pramana

M Eslami²  M Mirzazadeh1¹ 

[1] Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, Rudsar, Iran$$;Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran$$

关键词: Functional variable method;    compacton;    solitary pattern;    Kadomtsev–Petviashvili equation.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Studying compactons, solitons, solitary patterns and periodic solutions is important in nonlinear phenomena. In this paper we study nonlinear variants of the Kadomtsev–Petviashvili (KP) and the Korteweg–de Vries (KdV) equations with positive and negative exponents. The functional variable method is used to establish compactons, solitons, solitary patterns and periodic solutions for these variants. This method is a powerful tool for searching exact travelling solutions in closed form.

【 授权许可】

Unknown