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New soliton structures in the (2+1)-dimensional higher order Broer–Kaup system

Cheng-Lin Bai1,2 and Hong Zhao1

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By applying a special Bäcklund transformation and extended homogeneous balance method, a quite general variable separation solution for the (2+1)-dimensional higher order Broer–Kaup (HBK) system is derived. In addition to some types of the usual localized excitations, some special types of the kink soliton solution, periodic soliton solutions and lattice soliton solutions are constructed by selecting appropriate functions in the general variable separation solution of this system.


PACS

05.45.Yv Solitons

02.30.Jr Partial differential equations

MSC

37K40 Soliton theory, asymptotic behavior of solutions

35Q51 Solitons (See also 37K40)

35G20 General theory of nonlinear higher-order PDE

Subjects

Mathematical physics

Statistical physics and nonlinear systems

Dates

Issue 5 (May 2006)

Received 28 March 2005, accepted for publication 30 November 2005

Published 28 March 2006



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