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nlin.SI2010
New exact solutions of two-dimensional integrable generalizations of Kaup-Kuperschmidt and Sawada-Kotera equations via the -dressing method
Vladislav. G. Dubrovsky, Anton. V. Topovsky, Maxim. Yu. Basalaev
The 2+1-dimensional integrable generalization of Kaup-Kuperschmidt and Sawada-Kotera equations are studied by -dressing method of Zakharov and Manakov. The solutions…
nlin.SI2009★ 3 cited
Gauge-invariant description of several (2+1)-dimensional integrable nonlinear evolution equations
V. G. Dubrovsky, A. V. Gramolin
We obtain new gauge-invariant forms of two-dimensional integrable systems of nonlinear equations: the Sawada-Kotera and Kaup-Kuperschmidt system, the generalized system of dispersi…
nlin.SI2008★ 11 cited
Gauge-invariant description of some (2+1)-dimensional integrable nonlinear evolution equations
V. G. Dubrovsky, A. V. Gramolin
New manifestly gauge-invariant forms of two-dimensional generalized dispersive long-wave and Nizhnik-Veselov-Novikov systems of integrable nonlinear equations are presented. It is…