Soliton Solution of Generalized 2D Boussinesq Equation with Quadratic and Cubic Nonlinearity

Michiaki Matsukawa; Shinsuke Watanabe; Hiroshi Tanaca

doi:10.1143/JPSJ.58.827

Journal of the Physical Society of Japan

Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015

Soliton Solution of Generalized 2D Boussinesq Equation with Quadratic and Cubic Nonlinearity

Michiaki Matsukawa, Shinsuke Watanabe, Hiroshi Tanaca

著者情報

ジャーナル認証あり

1989 年 58 巻 3 号 p. 827-830

DOI https://doi.org/10.1143/JPSJ.58.827

詳細

抄録

The soliton solution of the Kadomtsev-Petviashvili and two-dimensional Boussinesq equations with quadratic and cubic nonlinearity is studied using the Hirota bilinear method. It is shown that the former has only a two-soliton solution propagating in parallel, but the latter has a two-soliton solution propagating in different directions under a certain condition. The Bäcklund transformation for the latter equation is also presented.