SOLITON SOLUTIONS OF 10th ORDER 2-D BOUSSINESQ EQUATION

K. Bharatha; R. Rangarajan

K. Bharatha PG Department of Mathematics, St. Philomena's College, Mysuru-570015, India
R. Rangarajan Department of Studies in Mathematics, University of Mysore, Manasagangothri, Mysuru-570006, India

Article ID: 2402

Keywords: higher order Boussinesq equation; Hirota bilinear method; tanh method

Abstract

The 2-D Boussinesq equation of 10th order is derived from its bilinear form. Its soliton solutions are studied in detail using the Hirota’s bilinear method. Since the 2-D Boussinesq equation is not completely integrable, we only obtain its 1-soliton and 2-soliton solutions. The equation is solved by the tanh method to reconstruct the 1-soliton solution obtained by the Hirota’s method.

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