ABUNDANT SOLUTIONS OF CERTAIN NONLINEAR EVOLUTION EQUATIONS ARISING IN SHALLOW WATER WAVES

P. Kumari, R. K. Gupta and S. Kumar

  DOI:
  https://doi.org/10.37418/amsj.9.4.35

Full Text

A family of new integrable Boussinesq equations with spatio temporal dimensions-(1+1) and (2+1) is studied in this work. The understudied equations are frequently used in computer models for the simulation of long water waves in shallow lakes and ocean harbours. Therefore, searching the exact travelling wave solutions of such equations are convenient in numerical as well as theoretical studies. In this work, a variety of travelling wave solutions i.e. Jacobi elliptic types, Weierstrass elliptic types, are obtained by the tanh function expansion method principle. Symbolic computations are made with the help of Maple software.


Keywords:
Integrable Boussinesq equations, Travelling wave solutions, Tanh function expansion method.