Zainab H. Kareem, Luma N. M. Tawfiq
Department of Mathematics, College of Education for Pure Science Ibn Al-Haitham, University of Baghdad, Iraq.
In this article, the Tanh method is employed as an effective approach for obtaining solutions to certain types of nonlinear partial differential equations. A new modification of the extended Tanh method is also proposed as a highly efficient technique for deriving precise traveling wave solutions for such equations. Both methods are applied to solve the (3+1)-dimensional New Hirota Bilinear Equation (NHBE), and the obtained results are compared to demonstrate the effectiveness of the proposed modification. Graphical representations of the solutions are provided to illustrate their behaviors, revealing several well-known wave structures such as solitary waves, singular waves, kink waves, and singular kink waves.
Keywords: Nonlinear PDEs; Hirota bilinear equation (HBE); Tanh method; Extended Tanh method.
Kareem, Z. H., & Tawfiq, L. N. M. (2023). Solving (3+1)D new Hirota bilinear equation using tanh method and new modification of extended tanh method. Advances in the Theory of Nonlinear Analysis and Its Application, 7(4), 114–122.