The exact solutions to analytical model of tsunami generation by sub-marine landslides

7th International Conference on Management Science and Engineering Management, ICMSEM 2013 -- 7 November 2013 through 9 November 2013 -- Philadelphia, PA -- 102588Nonlinear differential equations and its systems are used to describe various processes in physics, biology, economics etc. There are a lot of methods to look for exact solutions of nonlinear differential equations: The inverse scattering transform, Hirota method, the Backlund transform, the truncated Painleve expansion. It is well known that different types of exact solutions of an auxiliary equation produce new types of exact travelling wave solutions to nonlinear equations. In this paper, by means of symbolic computation, the new solutions of original auxiliary equation of first-order nonlinear ordinary differential equation with a sixth-degree nonlinear term are presented to obtain novel exact solutions of the analytical model of Tsunami generation by sub-marine landslides. © Springer-Verlag Berlin Heidelberg 2014