2020 Volume 10 Issue 6
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Yuanfen Xu, Lina Zhang. BIFURCATIONS OF TRAVELING WAVE SOLUTIONS FOR THE NONLINEAR SCHRÖDINGER EQUATION WITH FOURTH-ORDER DISPERSION AND CUBIC-QUINTIC NONLINEARITY[J]. Journal of Applied Analysis & Computation, 2020, 10(6): 2722-2733. doi: 10.11948/20200092
Citation: Yuanfen Xu, Lina Zhang. BIFURCATIONS OF TRAVELING WAVE SOLUTIONS FOR THE NONLINEAR SCHRÖDINGER EQUATION WITH FOURTH-ORDER DISPERSION AND CUBIC-QUINTIC NONLINEARITY[J]. Journal of Applied Analysis & Computation, 2020, 10(6): 2722-2733. doi: 10.11948/20200092

BIFURCATIONS OF TRAVELING WAVE SOLUTIONS FOR THE NONLINEAR SCHRÖDINGER EQUATION WITH FOURTH-ORDER DISPERSION AND CUBIC-QUINTIC NONLINEARITY

  • Corresponding author: Email address:zsdzln@126.com(L. Zhang)
  • Fund Project: The authors were supported by National Natural Science Foundation of China (No. 11871231)
  • For the nonlinear schrödinger equation with fourth-order dispersion and cubic-quintic nonlinearity, by using the method of dynamical systems, the dynamics and bifurcations of the corresponding traveling wave system are studied. Under different parametric conditions, twenty exact parametric representations of the traveling wave solutions are obtained.
    MSC: 35Q51, 35Q53, 34C23, 34C37
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