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Abstrakty
We discuss some properties of the soliton equations of the type ś u/ś t = S[u, u], where S is a nonlinear operator differential in x, and present the additivity theorems of the class of the soliton equations. On using the theorems, we can construct a new soliton equation through two soliton equations with similar properties. Meanwhile, exact N-envelope-soliton solutions of the Hirota equation are derived through the trace method.
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Rocznik
Tom
Strony
539--546
Opis fizyczny
Bibliogr. 11 poz.
Twórcy
autor
- School of Mechanical and Production Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798
Bibliografia
- [1] Miki Wadati, Katuro Sawada, J. Phys. Soc. Jpn. 48 (1980), 312.
- [2] Ibidem, p. 319.
- [3] Kenji Ohkuma, Miki Wadati, J. Phys. Soc. Jpn. 52 (1983),749.
- [4] Hideo Tsuru, Mike Wadati, J. Phys. Soc. Jpn. 53 (1984), 2908.
- [5] Weiming Zheng, J. Phys. A: Math. Gen. 19 (1986), L485.
- [6] Weiming Zheng, Kexue Tongbao 32 (1987), 210 (in Chinese).
- [7] Jian-Jun Shu, J. Phys. A: Math. Gen. 20 (1987), L49.
- [8] Ryogo Hirota, J. Math. Phys. 14 (1973), 805.
- [9] Zakharov V.E., Shabat A.B., Sov. Phys. - JETP 34 (1972), 62; Zh. Eksp. Teor. Fiz. 61 (1971), 118 (in Russian).
- [10] Ryogo Hirota, J. Phys. Soc. Jpn. 33 (1972), 1456.
- [11] M iki Wadati, J. Phys. Soc. Jpn. 32 (1972), 1681.
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-article-BPW1-0014-0039