Bifurcations of periodic orbits in the generalised nonlinear Schrödinger Equation
Ravindra I. Bandara,
Andrus Giraldo,
Neil G. R. Broderick
et al.
Abstract:We focus on the existence and persistence of families of saddle periodic orbits in a four-dimensional Hamiltonian reversible ordinary differential equation derived by using a travelling wave ansatz from a generalised nonlinear Schrödinger equation (GNLSE) with quartic dispersion. In this way, we are able to characterise different saddle periodic orbits with different signatures that serve as organising centres of homoclinic orbits in the ODE and solitons in the GNLSE. To achieve our objectives, we employ numer… Show more
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