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Kadomtsev, B.B. and Petviashvili, V.I. (1970) On the Stability of Solitary Waves in Weakly Dispersive Media. Soviet Physics—Doklady, 15, 539-541.

has been cited by the following article:

• TITLE: Variable Separation and Exact Solutions for the Kadomtsev-Petviashvili Equation

  AUTHORS: Lili Song, Yadong Shang

  KEYWORDS: Kadomtsev-Petviashvili Equation, Method of Variable Separation, Global Smooth Solution, Local Blow up Solution

  JOURNAL NAME: Advances in Pure Mathematics, Vol.5 No.3, March 12, 2015

  ABSTRACT: In the paper, we will discuss the Kadomtsev-Petviashvili Equation which is used to model shallow-water waves with weakly non-linear restoring forces and is also used to model waves in ferromagnetic media by employing the method of variable separation. Abundant exact solutions including global smooth solutions and local blow up solutions are obtained. These solutions would contribute to studying the behavior and blow up properties of the solution of the Kadomtsev-Petviashvili Equation.