聖塔非研究所

摘要 We consider the 非線性 Schrodinger equation (NLSE) i

2012-04-24 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 We consider the 非線性 Schrodinger equation (NLSE) in 1 + 1 dimension with scalar scalar self interaction g(2)/kappa+1(psi(star)psi)(kappa+1) in the presence of the external forcing terms of…

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  • 類型:已發表論文
  • 日期:2012-04-24

摘要

We consider the 非線性 Schrodinger equation (NLSE) in 1 + 1 dimension with scalar-scalar self-interaction g(2)/kappa+1(psi(star)psi)(kappa+1) in the presence of the external forcing terms of the form re (i(kx+theta)) - delta psi. We find new exact solutions for this problem and show that the solitary wave momentum is conserved in a moving frame where upsilon(k) = 2k. These new exact solutions reduce to the constant phase solutions of the unforced problem when r -> 0. In particular we study the behavior of solitary wave solutions in the presence of these external forces in a variational approximation which allows the position, momentum, width, and phase of these waves to vary in time. We show that the stationary solutions of the variational equations include a solution close to the exact one a

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