New exact wave solutions for Hirota equation

Pramana

M Eslami1²  A Neirameh³  M A Mirzazadeh¹ 

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

关键词: Hirota equation;    first integral method.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, we construct the topological or dark solitons of Hirota equation by using the first integral method. This approach provides first integrals in polynomial form with a high accuracy for two-dimensional plane autonomous systems. Exact soliton solution is constructed through the established first integrals. This method is a powerful tool for searching exact travelling solutions of nonlinear partial differential equations (NPDEs) in mathematical physics.

【 授权许可】

Unknown