Exact N-envelope-soliton solutions of the Hirota equation

• Autorzy: Shu J.-J.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

exact solutions; Hirota equation; solitons

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Optica Applicata
• Rocznik: 2003
• Tom: Vol. 33, nr 2-3
• Strony: 539--546
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Shu J.-J.

• School of Mechanical and Production Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798

Bibliografia

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• [2] Ibidem, p. 319.
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• [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.