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Two Solitons Solution of Kadomtsev – Petviashvili Equation
by Hirota Bilinear Method
Nurul A’zimah Binti Arifin
Supervisor: Dr. Azwani Binti Alias
Bachelor in Science (Computational Mathematics)
School of Informatics and Applied Mathematics
The purpose of this study is to observe the pattern of the interaction between 2 solitons
of Kadomtsev – Petviashvili (KP) equation. Generally, KP equation is the extension of
Korteweg-de Vries (KdV) equation. KP equation is two dimensional which is more realistic
compared to one dimensional KdV equation. Hence, it is more difficult to obtain the exact
solution. The general form of KP equation is
(u t + 6uu x + u xxx ) x ± 3u yy = 0 .
where subscripts denote the derivatives of the corresponding variables, which are t is
time, x and y is space coordinate in the direction of propagation. In this study, Hirota
Bilinear Method were used in order to obtain the solution of soliton of the KP equation.
The pattern produced by the interaction of two solitons were a triad, a quadruplet and a
cross. All the movement of triad, quadruplet and cross are move independently.
991 | UMT UNDERGRADUATE RESEARCH DAY 2018