Short vector solitons

Persistence of solutions to higher order nonlinear Schrödinger equation

“…There are other dispersive models similar to (1.1), see, for instance, [1,7,10,20,21,23] and the references therein. Remark 1.3.…”

“…There are other dispersive models similar to (1.1), see for instance [1,8,11,20,21,23] and the references therein. Then, u solves (1.1) if and only if v satisfies the equation…”

Vector solitons in coupled nonlinear Schrödinger equations with spatial stimulated scattering and inhomogeneous dispersion

“…The propagation of bimodal narrow vector wave packets is described by coupled third-order NLSEs, which take into account third-order cross-nonlinear terms [42][43][44][45]. In the framework of this system, which does not include SRS terms, two-component vector-soliton solutions were found in [43].…”