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Bright Soliton Solution of (1+1)‐Dimensional Quantum System with Power‐Law Dependent Nonlinearity

Author

Listed:
  • Yukun Zhao
  • Yujie Chen
  • Jun Dai
  • Ying Wang
  • Wei Wang

Abstract

We study the nonlinear dynamics of (1+1)‐dimensional quantum system in power‐law dependent media based on the nonlinear Schrödinger equation (NLSE) incorporating power‐law dependent nonlinearity, linear attenuation, self‐steepening terms, and third‐order dispersion term. The analytical bright soliton solution of this NLSE is derived via the F‐expansion method. The key feature of the bright soliton solution is pictorially demonstrated, which together with typical analytical formulation of the soliton solution shows the applicability of our theoretical treatment.

Suggested Citation

  • Yukun Zhao & Yujie Chen & Jun Dai & Ying Wang & Wei Wang, 2019. "Bright Soliton Solution of (1+1)‐Dimensional Quantum System with Power‐Law Dependent Nonlinearity," Advances in Mathematical Physics, John Wiley & Sons, vol. 2019(1).
    • Handle: RePEc:wly:jnlamp:v:2019:y:2019:i:1:n:8264848
    DOI: 10.1155/2019/8264848
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    References listed on IDEAS

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    1. Zhang, Jin-Liang & Wang, Ming-Liang, 2008. "Various exact solutions for two special type RKL models," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 215-226.
    2. Wazwaz, Abdul-Majid, 2008. "A study on linear and nonlinear Schrodinger equations by the variational iteration method," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1136-1142.
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