Radiationless Higher-Order Embedded Solitons

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概要

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• The soliton solutions of a higher-order nonlinear Schrödinger equation including nonlinearities of orders 2b+1 and 4b+1, as well as second- and fouth-order dispersive terms, are obtained. It is shown that these solitons may be (or may not be) embedded, depending on the coefficients of the equation. The radiationless character of the embedded solitons is explained by analyzing the Fourier transform of the equation. The stability of these solitons is studied analytically and numerically. In the analytical approach, we combined the Vakhitov--Kolokolov stability criterion with the standard variational method. This combined technique predicts that the standard solitons are unstable and the embedded ones might be stable. The numerical results confirm these predictions, and show that the embedded and standard solitons respond very differently to perturbations.

• 2013-03-15

著者

• Espinosa Aurea

  Instituto De Fisica Unam

• Fujioka Jorge

  Instituto de Física, Dpto. de Física Química, Universidad Nacional Autónoma de México, México D.F., C.P. 04510, México

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• Hydrodynamic Foundation and Painleve Analysis of Hirota-Satsuma-Type Equations
• Stability of the Bright-Type Algebraic Solitary-Wave Solutions of Two Extended Versions of the Nonlinear schrodinger Equation
• Soliton-Like Solution of an Extended NLS Equation Existing in Resonance with Linear Dispersive Waves
• Radiationless Higher-Order Embedded Solitons

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