scholarly journals On pattern structures of theN-soliton solution of the discrete KP equation over a finite field

2007 ◽  
Vol 40 (5) ◽  
pp. 949-959 ◽  
Author(s):  
Mariusz Białecki ◽  
Jonathan J C Nimmo
Keyword(s):  
Finite Field ◽  
Soliton Solution ◽  
Kp Equation ◽  
Pattern Structures ◽  
Discrete Kp

Gram-type pfaffian solution to the coupled discrete KP equation

2005 ◽  
Vol 38 (5) ◽  
pp. 1089-1095 ◽  
Author(s):  
Chun-Xia Li ◽  
Yasuhiro Ohta
Keyword(s):  
Kp Equation ◽  
Discrete Kp ◽  
Pfaffian Solution

scholarly journals New Interaction Solutions of (3+1)-Dimensional KP and (2+1)-Dimensional Boussinesq Equations

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Bo Ren ◽  
Jun Yu ◽  
Xi-Zhong Liu
Keyword(s):  
Soliton Solution ◽  
Boussinesq Equations ◽  
Phase Shifts ◽  
Kp Equation ◽  
Cnoidal Waves ◽  
Interaction Solution ◽  
Interaction Solutions

The consistent tanh expansion (CTE) method has been succeeded to apply to the nonintegrable (3+1)-dimensional Kadomtsev-Petviashvili (KP) and (2+1)-dimensional Boussinesq equations. The interaction solution between one soliton and one resonant soliton solution for the (3+1)-dimensional KP equation is obtained with CTE method. The interaction solutions among one soliton and cnoidal waves for these two equations are also explicitly given. These interaction solutions are investigated in both analytical and graphical ways. It demonstrates that the interactions between one soliton and cnoidal waves are elastic with phase shifts.

scholarly journals A pfaffian version of the modified discrete KP equation

2005 ◽  
Vol 311 (2) ◽  
pp. 518-529 ◽  
Author(s):  
Gegenhasi ◽  
Xing-Biao Hu ◽  
Hon-Wah Tam
Keyword(s):  
Kp Equation ◽  
Discrete Kp

Darboux and binary Darboux transformations for the nonautonomous discrete KP equation

1997 ◽  
Vol 38 (12) ◽  
pp. 6455-6469 ◽  
Author(s):  
R. Willox ◽  
T. Tokihiro ◽  
J. Satsuma
Keyword(s):  
Darboux Transformations ◽  
Kp Equation ◽  
Discrete Kp

scholarly journals Lumps, breathers, and interaction solutions of a (3+1)-dimensional generalized Kadovtsev–Petviashvili equation

2020 ◽  
pp. 2150041
Author(s):  
Xi Ma ◽  
Tie-Cheng Xia ◽  
Handong Guo
Keyword(s):  
Soliton Solution ◽  
Hirota Bilinear Method ◽  
Kp Equation ◽  
Bilinear Method ◽  
Test Technique ◽  
Interaction Solutions ◽  
Long Wave ◽  
Petviashvili Equation ◽  
Wave Limit ◽  
Hirota Bilinear

In this paper, we use the Hirota bilinear method to find the [Formula: see text]-soliton solution of a [Formula: see text]-dimensional generalized Kadovtsev–Petviashvili (KP) equation. Then, we obtain the [Formula: see text]-order breathers of the equation, and combine the long-wave limit method to give the [Formula: see text]-order lumps. Resorting to the extended homoclinic test technique, we obtain the breather-kink solutions for the equation. Last, the interaction solution composed of the [Formula: see text]-soliton solution, [Formula: see text]-breathers, and [Formula: see text]-lumps for the [Formula: see text]-dimensional generalized KP equation is constructed.

scholarly journals Discrete KP equation with self-consistent sources

2014 ◽  
Vol 378 (28-29) ◽  
pp. 1925-1931 ◽  
Author(s):  
Adam Doliwa ◽  
Runliang Lin
Keyword(s):  
Kp Equation ◽  
Self Consistent ◽  
Discrete Kp

1-Soliton solution of the generalized KP equation with generalized evolution

2010 ◽  
Vol 216 (7) ◽  
pp. 2220-2225 ◽  
Author(s):  
M.S. Ismail ◽  
Marko D. Petković ◽  
Anjan Biswas
Keyword(s):  
Soliton Solution ◽  
Kp Equation ◽  
Generalized Kp Equation
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