New Representations of Multiperiodic and Multisoliton Solutions for a Class of Nonlocal Soliton Equations(General)
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概要
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We present the new representations of the multiperiodic and multisoliton solutions of the Benjamin-Ono and nonlocal nonlinear Schrodinger equations. The key idea in the analysis is to explore the structure of the determinantal expressions of the solutions. After providing a direct verification of the multiperiodic solution by means of an elementary theory of determinants, we show that the solution admits a representation in terms of solutions for a system of nonlinear algebraic equations. This representation is found to be an analog of the multiperiodic solution of the Korteweg-de Vries equation We also discuss the long-wave limit of the results associated with the multiperiodic solutions.
- 社団法人日本物理学会の論文
- 2004-12-15
著者
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Matsuno Y
Yamaguchi Univ. Ube
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Matsuno Yoshimasa
Department Of Applied Science Faculty Of Engineering Yamaguchi University
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