Embedded soliton solutions : A variational study

TL;DR

This paper employs a variational approach to construct and analyze embedded soliton solutions in systems with opposing dispersion and nonlinearities, revealing energy gain tendencies related to harmonic field strengths.

Contribution

It introduces a variational method for constructing embedded solitons in complex nonlinear systems, highlighting energy dynamics between harmonics.

Findings

Embedded solitons tend to gain energy as the second harmonic weakens.

Both ordinary and embedded solitons exhibit similar energy gain behaviors.

The variational approach effectively models soliton solutions in nonlinear dispersive systems.

Abstract

We use a variational method to construct soliton solutions for systems characterized by opposing dispersion and competing nonlinearities at fundamental and second harmonics. We show that both ordinary and embedded solitons tend to gain energy when the second harmonic field becomes weaker than the first harmonic field.