Two-breather solutions for the class I infinitely extended nonlinear Schrodinger equation and their special cases

TL;DR

This paper derives a comprehensive two-breather solution for the class I infinitely extended nonlinear Schrödinger equation, enabling detailed modeling of complex wave phenomena with many adjustable parameters.

Contribution

It introduces a multi-parameter two-breather solution that generalizes previous models, including rogue waves and transformations to solitons.

Findings

Includes rogue wave triplets as special cases

Enables more accurate wave propagation modeling

Provides a flexible framework with many free parameters

Abstract

We derive the two-breather solution of the class I infinitely extended nonlinear Schrodinger equation (NLSE). We present a general form of this multi-parameter solution that includes infinitely many free parameters of the equation and free parameters of the two breather components. Particular cases of this solution include rogue wave triplets, and special cases of breather-to-soliton and rogue wave-to-soliton transformations. The presence of many parameters in the solution allows one to describe wave propagation problems with higher accuracy than with the use of the basic NLSE.