SOLITON SOLUTIONS OF 10th ORDER 2-D BOUSSINESQ EQUATION
Keywords:
higher order Boussinesq equation, Hirota bilinear method, tanh methodDOI:
https://doi.org/10.17654/0974324323005Abstract
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.
Received: January 2, 2023
Revised: February 8, 2023
Accepted: February 18, 2023
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