فهرست نشریات علمی دسترسی آزاد ایران

Kadomtsev–Petviashvili (KP) equation is an important (2+1) - dimensional nonlinear PDE which has not only multi-solitons but also has complete integrability. In order to  describe the long waves that propagation weakly dispersive in the direction of additional spatial variable $y$, Kadomstev and Petviashili  formulated this model. In the literature, many researchers are interested to propose and work on higher order nonlinear PDEs possessing multi-solitons. Two powerful methods employed by researchers are Hirota's method to obtain multi-solitons  and $\tanh-\coth$ method to obtain single-soliton solutions. In our work, a tenth-order generalization of the KP equation is derived and using Hirota's method,  its multi-solitons are worked out. Furthermore, the derived equation is also treated with the $\tanh$ method. This article emphasizes few bounded solutions to the equation in context. The main aim of this paper is to demonstrate the generalization of the K-P equation using Hirota operators and to study corresponding  multi-solitons. Finally, some open problems related to the proposed tenth-order KP equation are discussed.