On the Existence of Bright Solitons in Cubic-Quintic Nonlinear Schrödinger Equation with Inhomogeneous Nonlinearity

Juan Belmonte-Beitia

Mathematical Problems in Engineering, 2008, vol. 2008, 1-14

Abstract:

We give a proof of the existence of stationary bright soliton solutions of the cubic-quintic nonlinear Schrödinger equation with inhomogeneous nonlinearity. By using bifurcation theory, we prove that the norm of the positive solution goes to zero as the parameter , called chemical potential in the Bose-Einstein condensates' literature, tends to zero. Moreover, we solve the time-dependent cubic-quintic nonlinear Schrödinger equation with inhomogeneous nonlinearities by using a numerical method.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:935390

DOI: 10.1155/2008/935390

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