Multiple rogue wave, lump‐periodic, lump‐soliton, and interaction between k ‐lump and k ‐stripe soliton solutions for the generalized KP equation

2020 ◽  
Author(s):  
Jin Zhao ◽  
Jalil Manafian ◽  
Neven E. Zaya ◽  
Sizar Abid Mohammed
Keyword(s):  
Rogue Wave ◽  
Soliton Solutions ◽  
Kp Equation ◽  
Generalized Kp Equation

Multiple-soliton solutions and lumps of a (3+1)-dimensional generalized KP equation

2018 ◽  
Vol 95 (2) ◽  
pp. 1687-1692 ◽  
Author(s):  
Jianping Yu ◽  
Fudong Wang ◽  
Wenxiu Ma ◽  
Yongli Sun ◽  
Chaudry Masood Khalique
Keyword(s):  
Soliton Solutions ◽  
Kp Equation ◽  
Multiple Soliton Solutions ◽  
Generalized Kp Equation

Two integrable extensions of the Kadomtsev-Petviashvili equation

Open Physics ◽  
2011 ◽  
Vol 9 (1) ◽  
Author(s):  
Abdul-Majid Wazwaz
Keyword(s):  
Soliton Solutions ◽  
Kp Equation ◽  
Completely Integrable ◽  
Multiple Soliton Solutions ◽  
Petviashvili Equation ◽  
Singular Soliton ◽  
Multiple Singular Soliton Solutions

AbstractIn this work, two new completely integrable extensions of the Kadomtsev-Petviashvili (eKP) equation are developed. Multiple soliton solutions and multiple singular soliton solutions are derived to demonstrate the compatibility of the extensions of the KP equation.

Multiple rogue and soliton wave solutions to the generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt equation arising in fluid mechanics and plasma physics

2021 ◽  
pp. 2150383
Author(s):  
Onur Alp Ilhan ◽  
Sadiq Taha Abdulazeez ◽  
Jalil Manafian ◽  
Hooshmand Azizi ◽  
Subhiya M. Zeynalli
Keyword(s):  
Rogue Wave ◽  
Three Dimensional ◽  
Soliton Solutions ◽  
The Novel ◽  
Algebraic Equations ◽  
Bilinear Method ◽  
Dynamical Characteristics ◽  
Wave Solutions ◽  
Multiple Soliton Solutions ◽  
Soliton Wave Solutions

Under investigation in this paper is the generalized Konopelchenko–Dubrovsky–Kaup-Kupershmidt equation. Based on bilinear method, the multiple rogue wave (RW) solutions and the novel multiple soliton solutions are constructed by giving some specific activation functions for the considered model. By means of symbolic computation, these analytical solutions and corresponding rogue wave solutions are obtained via Maple 18 software. The exact lump and RW solutions, by solving the under-determined nonlinear system of algebraic equations for the specified parameters, will be constructed. Via various three-dimensional plots and density plots, dynamical characteristics of these waves are exhibited.

Extended KP equations and extended system of KP equations: multiple-soliton solutions

2011 ◽  
Vol 89 (7) ◽  
pp. 739-743 ◽  
Author(s):  
Abdul-Majid Wazwaz
Keyword(s):  
Soliton Solutions ◽  
Dispersion Relations ◽  
Kp Equation ◽  
Extended System ◽  
Multiple Soliton Solutions ◽  
Simplified Method ◽  
Kp Equations

In this work we study an extended Kadomtsev–Petviashvili (KP) equation and a system of KP equations. We show that the extension terms do not kill the integrability of typical models. Hereman’s simplified method is used to justify this goal. Multiple soliton solutions will be derived for each model. The analysis highlights the effects of the extension terms on the dispersion relations, and hence on the structures of the solutions.

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