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A unified concatenation model for plasma physics: Integrability and soliton solutions. [PDF]

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Zayed EME, El-Shater M, Arnous AH, Biswas A.   +3 more
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New extended Kadomtsev–Petviashvili equation: multiple soliton solutions, breather, lump and interaction solutions

Nonlinear Dynamics, 2021
In this paper, we develop a new extended Kadomtsev–Petviashvili (eKP) equation. We use the Painleve analysis to confirm the integrability of the eKP equation. We derive the bilinear form, multiple soliton solutions and lump solutions via using the Hirota’s direct method.
Yu-Lan Ma, Abdul-Majid Wazwaz, Bang-Qing Li   +2 more
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Multiple-soliton solutions for a (3+1)-dimensional generalized KP equation

Communications in Nonlinear Science and Numerical Simulation, 2012
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Abdul Majid Wazwaz
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Multiple-soliton solutions for the Lax–Kadomtsev–Petviashvili (Lax–KP) equation

Applied Mathematics and Computation, 2008
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Abdul Majid Wazwaz
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Multiple-soliton solutions of Einstein’s equations

Journal of Mathematical Physics, 1989
Using the Belinsky–Zakharov generating technique and a flat metric as a seed, two- and four-soliton solutions of the Einstein vacuum equations for the cases of stationary axisymmetric, cylindrically symmetric, or plane symmetric gravitational fields are considered. Three- and five-parameter classes of exact solutions are obtained, some of which are new.
Economou, A., Tsoubelis, D.
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Multiple Soliton Solutions of the Boussinesq Equation

Physica Scripta, 2005
Summary: The Boussinesq equation can be considered as the first model for nonlinear dispersive wave prapagation. In the light of the principle of homogeneous balance and with the aid of some suitable transformations, the multiple soliton solutions of the Boussinesq equation are given.
Yu, Jun, Sun, Quanping, Zhang, Weijun
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Variable coefficient equations of the Kadomtsev–Petviashvili hierarchy: multiple soliton solutions and singular multiple soliton solutions

Physica Scripta, 2012
We give an introduction to a new direct computational method for constructing multiple soliton solutions to nonlinear equations with variable coefficients in the Kadomtsev–Petviashvili (KP) hierarchy. We discuss in detail how this works for a generalized (3 + 1)-dimensional KP equation with variable coefficients.
H M Jaradat, Safwan Al-Shara, Fadi Awawdeh, Marwan Alquran   +3 more
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Multiple Soliton Solutions of Alice–Bob Boussinesq Equations*

Chinese Physics Letters, 2019
Three Alice–Bob Boussinesq (ABB) nonlocal systems with shifted parity ( P ^ s
Hui Li, S. Y. Lou
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Multiple-soliton solutions and analytical solutions to a nonlinear evolution equation

Optical and Quantum Electronics, 2017
The mathematical modelling of physical systems is generally expressed by nonlinear evolution equations. Therefore, it is critical to obtain solutions to these equations. We have employed the Hirota’s method to derive multiple soliton solutions to (2+1)-dimensional nonlinear evolution equation.
Melike Kaplan, Mehmet Naci Ozer
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A nonlocal Boussinesq equation: Multiple-soliton solutions and symmetry analysis

Chinese Physics B, 2022
A nonlocal Boussinesq equation is deduced from the local one by using consistent correlated bang method. To study various exact solutions of the nonlocal Boussinesq equation, it is converted into two local equations which contain the local Boussinesq equation. From the N-soliton solutions of the local Boussinesq equation, the N-soliton solutions of the
Xi-zhong Liu, Jun Yu
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