Inverse Method for the Mixed Nonlinear Schrodinger Equation and Soliton Solutions

スポンサーリンク

概要

• 論文の詳細を見る

• A mixed nonlinear Schrodinger equation which has a usual cubic nonlinear term and a derivative cubic nonlinear term is exactly solved by the inverse scattering method under the nonvanishing boundary condition. The N-soliton solution is obtained and we find that the one-soliton solution generally pulsates but becomes stationary and further algebraic in some special cases. Both limiting cases corresponding to the nonlinear Schrodinger equation and the derivative nonlinear Schrodinger equation are made clear. This problem is applied to solve the Alfven wave, propagating parallel to the magnetic field, under the plane wave boundary condition. A peculiar structure of spiky modulation is shown analytically.

• 核融合科学研究所の論文

著者

• Kawata T.

  Research Information Center Institute Of Plasma Physics Nagoya University:faculty Of Engineering Toy

• Kawata T.

  Research Information Center Institute Of Plasma Physics Nagoya University:faculty Of Engineering Toy

• Sakai J.

  Research Information Center, Institute of Plasma Physics, Nagoya University

• Kobayashi N.

  Research Information Center, Institute of Plasma Physics, Nagoya University

関連論文

• Inverse Method for the Mixed Nonlinear Schrodinger Equation and Soliton Solutions
• Generalized Gel'fand-Levitan Equation and Variational Relations of the Kaup-Newell Equation

スポンサーリンク