Casorati Determinant Form of Dark Soliton Solutions of the Discrete Nonlinear Schrödinger Equation

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概要

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• Kyushu University 21st Century COE Program Development of Dynamic Mathematics with High Functionality九州大学21世紀COEプログラム「機能数理学の構築と展開」It is shown that the N-dark soliton solutions of the integrable discrete nonlinear Schrödinger (IDNLS) equation are given in terms of the Casorati determinant. The conditions for reduction, complex conjugacy, and regularity for the Casorati determinant solution are also given explicitly. The relationship between the IDNLS and the relativistic Toda lattice is discussed.

• 社団法人日本物理学会の論文
• 2006-05-15

著者

• OHTA Yasuhiro

  Department of Physics, School of Science, The University of Tokyo

• MARUNO Ken-ichi

  Faculty of Mathematics, Kyushu University

• Maruno Ken-ichi

  Faculty Of Mathematics Kyushu University

• Ohta Yasuhiro

  Department Of Applied Mathematics Faculty Of Engineering Hiroshima University

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