Results 271 to 280 of about 7,942,123 (324)

Rogue waves, classical lump solutions and generalized lump solutions for Sawada–Kotera-like equation

International Journal of Modern Physics B, 2022
In this work, the [Formula: see text]-dimensional Sawada–Kotera-like (SK-like) equation is derived through the generalized bilinear equation from SK equation. By using “3-2” and “3-2-2” neural network models, three trial functions are constructed. Classic lump, generalized lump solutions and new rogue wave solutions are acquired by giving a number of ...
Run-Fa Zhang, Ming-Chu Li, Esmail Al-Mosharea, Fu-Chang Zheng, Sudao Bilige   +4 more
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Integrability features of a new (3+1)-dimensional nonlinear Hirota bilinear model: multiple soliton solutions and a class of lump solutions

International Journal of Numerical Methods for Heat & Fluid Flow, 2022
Purpose This paper aims to propose a new (3+1)-dimensional integrable Hirota bilinear equation characterized by five linear partial derivatives and three nonlinear partial derivatives.
A. Wazwaz, L. El-sherif, S. El-Tantawy
semanticscholar   +1 more source

Dynamics of lump solutions, lump-kink solutions and periodic lump solutions in a (3+1)-dimensional generalized Jimbo–Miwa equation

Waves in Random and Complex Media, 2019
Under investigation in this paper is a (3+1)-dimensional generalized Jimbo–Miwa equation(gJM), which describes many interesting three dimensional nonlinear waves in physics.
Xue-Wei Yan, Shou-Fu Tian, Min-Jie Dong, Tian-Tian Zhang   +3 more
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Lump-type solutions and lump solutions for the (2+1)-dimensional generalized Bogoyavlensky–Konopelchenko equation

Computers & Mathematics with Applications, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiang Li, Temuer Chaolu, Yun-Hu Wang
openaire   +1 more source

New integrable (2+1)- and (3+1)-dimensional shallow water wave equations: multiple soliton solutions and lump solutions

, 2021
Purpose This study aims to develop two integrable shallow water wave equations, of higher-dimensions, and with constant and time-dependent coefficients, respectively.
A. Wazwaz
semanticscholar   +1 more source

Lump-type solutions, interaction solutions, and periodic lump solutions of the generalized (3+1)-dimensional Burgers equation

Modern Physics Letters B, 2020
In this paper, the lump-type solutions, interaction solutions, and periodic lump solutions of the generalized ([Formula: see text])-dimensional Burgers equation were obtained by using the ansatz method. Based on a variable transformation, the generalized ([Formula: see text])-dimensional Burgers equation was transformed into a bilinear equation.
Chun-Na Gao, Yun-Hu Wang
openaire   +1 more source

A Lump Solution and Its Energy

Progress of Theoretical Physics Supplement, 2011
Summary: A concrete example of lump solution in bosonic open string field theory is presented and discussed. It is shown that the solution satisfies the equation of motion and is not a pure gauge. The expression of its energy is written down explicitly and analytically computed as far as it is possible.
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Oceanic shallow-water description with (2 + 1)-dimensional generalized variable-coefficient Hirota–Satsuma–Ito equation: Painlevé analysis, soliton solutions, and lump solutions

The Physics of Fluids
Variable-coefficient equations can be used to describe certain phenomena when inhomogeneous media and nonuniform boundaries are taken into consideration.
Xing Lü, Liang-Li Zhang, Wen-Xiu Ma
semanticscholar   +1 more source

Extended (3 + 1)-dimensional Kairat-II and Kairat-X equations: Painlevé integrability, multiple soliton solutions, lump solutions, and breather wave solutions

International Journal of Numerical Methods for Heat & Fluid Flow
Purpose This study aims to investigate two newly developed (3 + 1)-dimensional Kairat-II and Kairat-X equations that illustrate relations with the differential geometry of curves and equivalence aspects. Design/methodology/approach The Painlevé analysis
A. Wazwaz
semanticscholar   +1 more source

Lump solutions of Biharmonic equation

2020
In this article, through symbolic computation With Maple, we get the solution of the (1 + 1)-dimensional Biharmonic-equation. These solutions, which we call lump solution, obtained using square functions, are rationally localized in all directions in the space.
Badiepour, Azadeh, Ayati, Zainab, Ebrahimi, Hamideh   +2 more
openaire   +1 more source