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Exact solutions for the quintic nonlinear Schrödinger equation with inhomogeneous nonlinearity

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  • Belmonte-Beitia, Juan

Abstract

In this paper, using Lie group theory and canonical transformations, we construct explicit solutions of quintic nonlinear Schrödinger equations with spatially inhomogeneous nonlinearities. We present the general theory and use it to study some examples.

Suggested Citation

  • Belmonte-Beitia, Juan, 2009. "Exact solutions for the quintic nonlinear Schrödinger equation with inhomogeneous nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 1005-1009.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:2:p:1005-1009
    DOI: 10.1016/j.chaos.2008.04.035
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    References listed on IDEAS

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    1. Belmonte-Beitia, Juan & Pérez-García, Víctor M. & Vekslerchik, Vadym, 2007. "Modulational instability, solitons and periodic waves in a model of quantum degenerate boson–fermion mixtures," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1268-1277.
    2. Zhu, Jia-Min & Ma, Zheng-Yi, 2007. "Exact solutions for the cubic–quintic nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 958-964.
    3. Zhu, Shun-dong, 2007. "Exact solutions for the high-order dispersive cubic-quintic nonlinear Schrödinger equation by the extended hyperbolic auxiliary equation method," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1608-1612.
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