Results 11 to 20 of about 155 (137)

Anomalous scattering of dark lumps to the (2+1)-dimensional generalized Kadomtsev–Petviashvili equation

Results in Physics, 2023
The anomalous interactions of dark lumps that are completely different from the general lump collisions of the (2+1)-dimensional generalized Kadomtsev–Petviashvili equation were constructed.
Bao Wang
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Abundant soliton wave solutions and the linear superposition principle for generalized (3+1)-D nonlinear wave equation in liquid with gas bubbles by bilinear analysis

Results in Physics, 2022
In this article, we study the generalized (3+1)-dimensional nonlinear wave equation where is investigated in soliton theory and by employing the Hirota’s bilinear method the bilinear form is obtained, and the N-soliton solutions are constructed.
Guiping Shen, Jalil Manafian, Dinh Tran Ngoc Huy, Kottakkaran Sooppy Nisar, Mostafa Abotaleb, Nguyen Dinh Trung   +5 more
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Bilinear Equation of the Nonlinear Partial Differential Equation and Its Application

Journal of Function Spaces, 2020
The homogeneous balance of undetermined coefficient method is firstly proposed to derive a more general bilinear equation of the nonlinear partial differential equation (NLPDE).
Xiao-Feng Yang, Yi Wei
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Employing Hirota’s bilinear form to find novel lump waves solutions to an important nonlinear model in fluid mechanics

Results in Physics, 2021
In this paper, Hirota’s bilinear form has been employed to find novel lump waves solutions for the generalized Caudrey–Dodd–Gibbon–Kotera–Sawada equation. This equation is one of the most widely used equations in the field of fluid mechanics.
Behzad Ghanbari
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New solitary wave and multiple soliton solutions for fifth order nonlinear evolution equation with time variable coefficients

Results in Physics, 2018
In this paper, we investigate the multiple soliton solutions and multiple singular soliton solutions of a class of the fifth order nonlinear evolution equation with variable coefficients of t using the simplified bilinear method based on a transformation
H.M. Jaradat, Muhammed Syam, M. Jaradat, Zead Mustafa, S. Momani   +4 more
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Multi-wave, breather wave and lump solutions of the Boiti–Leon–Manna–Pempinelli equation with variable coefficients

Results in Physics, 2020
In this paper, a variable-coefficient Boiti–Leon–Manna–Pempinelli equation is to be investigated. We obtain abundant multi-wave, breather wave and lump solutions by using the three waves method, the homoclinic breather approach and the Hirota’s bilinear ...
Jian-Guo Liu, Wang-Ping Xiong
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Lump solutions of nonlinear (3 + 1)-dimensional for nonlinear partial differential equations

Partial Differential Equations in Applied Mathematics, 2020
Through the Hirota’s bilinear algorithm, we aim to generate the existence of diverse lump and interaction solutions for two nonlinear (3+1)-dimensional partial differential equations (NLPDEs).
Ahmad M. Alenezi
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Periodic, Cross-Kink, and Interaction between Stripe and Periodic Wave Solutions for Generalized Hietarinta Equation: Prospects for Applications in Environmental Engineering

Advances in Mathematical Physics, 2022
In the current work, the modified (2 + 1)-dimensional Hietarinta model is considered by employing Hirota’s bilinear scheme. Likewise, the bilinear formalism is obtained for the considered model.
Guangping Li, Jalil Manafian, Mirmehdi Seyyedi, R. Sivaraman, Subhiya M. Zeynalli   +4 more
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Multi-Solitons, Multi-Breathers and Multi-Rational Solutions of Integrable Extensions of the Kadomtsev–Petviashvili Equation in Three Dimensions

Fractal and Fractional, 2022
The celebrated Korteweg–de Vries and Kadomtsev–Petviashvili (KP) equations are prototypical examples of integrable evolution equations in one and two spatial dimensions, respectively.
Athanassios S. Fokas, Yulei Cao, Jingsong He   +2 more
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Some Exact Solutions to Generalized Kadomtsev-Petviashvili Equation

Advances in Mathematical Physics, 2022
Most of the papers have explored the interactions between solitons with a zero background, while reports about exact solutions for nonzero background are rare.
Bao Wang, Zhiqiang Chen
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