Compacton-like solutions for modified KdV and nonlinear Schrödinger equation with external sources

Pramana

Thokala Soloman Raju³  Prasanta K Panigrahi¹  C Nagaraja Kumar2² 

[1] Indian Institute of Science Education and Research-Kolkata, Mohanpur, Nadia 741 252, India$$;Department of Physics, Panjab University, Chandigarh 160 014, India$$;Department of Physics, Karunya University, Coimbatore 641 114, India$$

关键词: Compacton-like solutions;    modified KdV equation;    nonlinear Schrödinger equation;    fractional transform.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We present new types of compacton-like solutions for modified KdV and nonlinear Schrödinger equation with external sources, using a recently developed fractional transformation. In particular, we explicate these novel compactons for the trigonometric case, and compare their properties with those of the compactons and solitons in the case of modified KdV equation. Keeping in mind the significance of nonlinear Schrödinger equation with external source, for pulse propagation through asymmetric twin-core fibres, we hope that the newly found compacton may be launched in a long-haul telecommunication network utilizing asymmetric twin-core fibres.

【 授权许可】

Unknown