Stability of the Bright-Type Algebraic Solitary-Wave Solutions of Two Extended Versions of the Nonlinear schrodinger Equation

概要

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The stability of the bright-type algebraic solitary-wave solutions of two extended nonlinearSchr6dinger (NLS) equations, recently obtained by Hayata and Koshiba (HK) [Phys. Rev. E51 (1995) 1499], is investigated by means of the averaged Lagrangian variational techniqtre.Concerning the first equation (a quadratic-ctrbic NLS eq.), the variational analysis shows that theexact solution found by HK is stable, as solitary-wave initial conditions which deviate froun theHK solvrtion evolve into oscillatory functions whose envelopes rermain close to the exact solution,if certain stability conditions are satisfied. Concerning the second equation (a cubic-quintic NLSeq.), the variational analysis indicates that in this case the exact solution is unstable, as solitary-wave initial conditions which are higher than the exact solution lead to a blowup within a finitedistance, whereas initial pulses which are lower than the exact soltrtion are completely dispersed.
社団法人日本物理学会の論文
1996-08-15