Click here to view fulltext PDF

Permanent link:
https://www.ias.ac.in/article/fulltext/pram/083/02/0273-0277

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

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.

Thokala Soloman Raju¹ C Nagaraja Kumar² Prasanta K Panigrahi³

1. Department of Physics, Karunya University, Coimbatore 641 114, India
2. Department of Physics, Panjab University, Chandigarh 160 014, India
3. Indian Institute of Science Education and Research-Kolkata, Mohanpur, Nadia 741 252, India

Published

August 2014

Early published

18 July 2014