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Zbl 0938.76013
Kaptsov, O.V.
Construction of exact solutions to the Boussinesq equation. (English. Russian original)
[J] Prikl. Mekh. Tekh. Fiz. 39, No.3, 74-78 (1998); translation in J. Appl. Mech. Tech. Phys. 39, No.3, 389-392 (1998). ISSN 0869-5032

The author obtains in elementary functions solutions to the Boussinesq equation which describe wave packets, their mutual interaction, and their interaction with other solitons. Hirota's bilinear representation and differential relations resulting from some ordinary differential equations are used for constructing these solutions.
[Yu.A.Bogan (Novosibirsk)]
MSC 2000:
*76B15 Wave motions (fluid mechanics)
35Q51 Solitons

Keywords: Boussinesq equation; solitons; wave packets; Hirota's bilinear representation

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