DYNAMICAL BEHAVIOUR AND EXACT SOLUTIONS OF THIRTEENTH ORDER DERIVATIVE NONLINEAR SCHR&#214;DINGER EQUATION

Temesgen Desta Leta; Jibin Li

doi:10.11948/2018.250

2018 Volume 8 Issue 1

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Temesgen Desta Leta, Jibin Li. DYNAMICAL BEHAVIOUR AND EXACT SOLUTIONS OF THIRTEENTH ORDER DERIVATIVE NONLINEAR SCHRÖDINGER EQUATION[J]. Journal of Applied Analysis & Computation, 2018, 8(1): 250-271. doi: 10.11948/2018.250

Citation:

Temesgen Desta Leta, Jibin Li. DYNAMICAL BEHAVIOUR AND EXACT SOLUTIONS OF THIRTEENTH ORDER DERIVATIVE NONLINEAR SCHRÖDINGER EQUATION[J]. Journal of Applied Analysis & Computation, 2018, 8(1): 250-271. doi: 10.11948/2018.250

DYNAMICAL BEHAVIOUR AND EXACT SOLUTIONS OF THIRTEENTH ORDER DERIVATIVE NONLINEAR SCHRÖDINGER EQUATION

1 Mathematics Department, Zhejiang Normal University, Street, 688 Yingbin Avenue, 321004 Jinhua, China;
2 School of Mathematical Sciences, Huaqiao University, 362021 Quanzhou, Fujian, China

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Abstract

Abstract

In this paper, we considered the model of the thirteenth order derivatives of nonlinear Schrödinger equations. It is shown that a wave packet ansatz inserted into these equations leads to an integrable Hamiltonian dynamical sub-system. By using bifurcation theory of planar dynamical systems, in different parametric regions, we determined the phase portraits. In each of these parametric regions we obtain possible exact explicit parametric representation of the traveling wave solutions corresponding to homoclinic, hetroclinic and periodic orbits.
- Coupled integrable system /
- exact solution /
- thirteenth order derivative nonlinear Schrödinger equation /
- homoclinic orbits /
- hetroclinic orbits /
- periodic orbits
MSC: 34A05;34C25-28;34M55;35Q51;35Q53;58F05;58F14;58F30;35C05;35C07;34C60

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References

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