Melnikov's criteria and chaos analysis in the nonlinear Schrödinger equation with Kerr law nonlinearity

DOI10.1155/2014/650781zbMath1474.35591OpenAlexW1988343183WikidataQ59040373 ScholiaQ59040373MaRDI QIDQ1724676

Jiuli Yin, Liuwei Zhao, Lixin Tian

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/650781

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (1)

Chaos analysis and control of relative rotation system with Mathieu-Duffing oscillator

Cites Work

• The modified \(\frac {G \prime}{G}\)-expansion method and traveling wave solutions of nonlinear the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity
• Exact solutions for the quintic nonlinear Schrödinger equation with time and space modulated nonlinearities and potentials
• The traveling wave solutions of the perturbed nonlinear Schrödinger equation and the cubic-quintic Ginzburg Landau equation using the modified (\(G^{\prime}/G\))-expansion method
• Chaos control in Duffing system
• New exact solutions to the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity
• Direct search for exact solutions to the nonlinear Schrödinger equation
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Global bifurcations and chaos. Analytical methods
• Complex dynamics in Duffing system with two external forcings
• Complex dynamics in three-well Duffing system with two external forcings
• Chaos in Dynamical Systems
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