Abstract
Abstract
A novel (2+1)-dimensional nonlinear Boussinesq equation is derived from a (1+1)-dimensional Boussinesq equation in nonlinear Schrödinger type based on a deformation algorithm. The integrability of the obtained (2+1)-dimensional Boussinesq equation is guaranteed by its Lax pair obtained directly from the Lax pair of the (1+1)-dimensional Boussinesq equation. Because of the effects of the deformation, the (2+1)-dimensional Boussinesq equation admits a special travelling wave solution with a shape that can be deformed to be asymmetric and/or multi-valued.
Funder
K. C. Wong Magna Fund, Ningbo University
National Natural Science Foundation of China
Subject
Physics and Astronomy (miscellaneous)
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