Dynamical Motions of Algebraic Solitons of a Model Equation for Deep Water Waves
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概要
- 論文の詳細を見る
The interaction procesS of two algebraic solitons of a model equation for deepwater waves is investigated by employing the pole representation of a 2-soliton solu-lion. In this representation, an algebraic soliton can be identified with a complexpole. It is found that the details of the interaction process of two solitons are govern-ed by each amplitude of solitons. The characteristic is in striking contrast to that ofthe collision of the Benjamin-Ono(BO) algebraic solitons wl?ere the interaction pro-cess is completely deterrninecl by the amplitude ratio of two solitons. Finally, an in-itial condition evolving into two pure solitons is jcresented. It has a Lorentzian pro-file. The ratio of the amplitudes of resultant two solitons is shown to depend on aparameter greater than a certain positive value. Thais result is quite different from thecorresponding BO case where the amplitude ratio takes a constant value.
- 社団法人日本物理学会の論文
- 1988-05-15
著者
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Matsuno Yoshimasa
Department Of Applied Science Faculty Of Engineering Yamaguchi University
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Matsuno Yoshimasa
Department Of Physics Faculty Of Liberal Arts Yamaguchi University
関連論文
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- New Type of Algebraic Solitons Expressed in Terms of Pfaffians
- The Small Dispersion Limit of the Benjamin-Ono Equation and the Evolution of a Step Initial Condition
- Bilinearization of Nonlinear Evolution Equations. II. : Higher-Order Modified Korteweg-de Vries Equations
- A New Proof of the Rational N-Soliton Solution for the Kadomtsev-Petviashvili Equation
- N-Soliton and N-Periodic Wave Solutions of the Higher Order Benjamin-Ono Equation
- Bilinearization of Nonlinear Evolution Equations
- Exact One-and Two-Periodic Wave Solutions of Fluids of Finite Depth
- Dynamical Motions of Algebraic Solitons of a Model Equation for Deep Water Waves
- Solutions of the Higher Order Benjamin-Ono Equation
- N-Soliton Solution of the Higher Order Wave Equation for a Fluid of Finite Depth
- A Direct Proof of the N-Soliton Solution of the Benjamin-Ono Equation by Means of Jacobi's Formula
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