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

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  • Juan Belmonte-Beitia

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.

Suggested Citation

  • Juan Belmonte-Beitia, 2008. "On the Existence of Bright Solitons in Cubic-Quintic Nonlinear Schrödinger Equation with Inhomogeneous Nonlinearity," Mathematical Problems in Engineering, Hindawi, vol. 2008, pages 1-14, August.
    • Handle: RePEc:hin:jnlmpe:935390
    DOI: 10.1155/2008/935390
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