论文信息 - The construction of exact solutions of two-dimensional integrable generalizations of Kaup–Kuperschmidt and Sawada–Kotera equations via ∂̄-dressing method

The construction of exact solutions of two-dimensional integrable generalizations of Kaup–Kuperschmidt and Sawada–Kotera equations via ∂̄-dressing method

Abstract The (2+1)-dimensional integrable generalization of Kaup–Kuperschmidt and Savada–Kotera equations are studied by ∂ -dressing method of Zakharov and Manakov. Several classes of exact solutions such as line solitons and line rational lumps are constructed.

V. Dubrovsky | V. G. Dubrovsky | Ya. V. Lisitsyn

[1] S. Manakov,et al. The inverse scattering transform for the time-dependent Schrodinger equation and Kadomtsev-Petviashvili equation , 1981 .

[2] V. Zakharov. On the Dressing Method , 1990 .

[3] Boris Konopelchenko,et al. Some new integrable nonlinear evolution equations in 2 + 1 dimensions , 1984 .

[4] Xing-Biao Hu,et al. Soliton solutions and symmetries of the 2+1 dimensional Kaup–Kupershmidt equation , 1999 .

[5] B. Konopelchenko. Introduction to Multidimensional Integrable Equations: The Inverse Spectral Transform in 2+1 Dimensions , 1993 .

[6] Pierre C. Sabatier. Inverse Methods in Action , 1990 .

[7] Boris Konopelchenko,et al. Solitons in Multidimensions: Inverse Spectral Transform Method , 1993 .

[8] Richard Beals,et al. The D -bar approach to inverse scattering and nonlinear evolutions , 1986 .