Results 251 to 260 of about 3,970,466 (307)
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, 2021
This paper investigates some novel exact analytical solutions, including lump-type wave, breather wave as well as BK-type wave solutions for a (3+1)-dimensional p ¯ -gKP equation.
Li-Tao Gai, Ming-Chu Li
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This paper investigates some novel exact analytical solutions, including lump-type wave, breather wave as well as BK-type wave solutions for a (3+1)-dimensional p ¯ -gKP equation.
Li-Tao Gai, Ming-Chu Li
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Physica Scripta, 2020
Abstract In this paper, we give the solutions on a periodic background in terms of the determinant form for the derivative nonlinear Schrödinger equation. Because its rogue wave on a periodic background has been studied, we investigate only the breather and breather-rogue wave on a periodic background for the derivative nonlinear ...
Bo Xue, Jing Shen, Xianguo Geng
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Abstract In this paper, we give the solutions on a periodic background in terms of the determinant form for the derivative nonlinear Schrödinger equation. Because its rogue wave on a periodic background has been studied, we investigate only the breather and breather-rogue wave on a periodic background for the derivative nonlinear ...
Bo Xue, Jing Shen, Xianguo Geng
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Peregrine breathers as design waves for wave-structure interaction
Ocean Engineering, 2016This paper introduces the Peregrine breather solution of the nonlinear Schrödinger-type equation as an innovative design wave. The major benefits are the potential to generate abnormal waves of certain frequency up to physically possible wave heights, the symmetrical abnormal wave shape and the availability of an analytical solution.
Klein, Marco +4 more
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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
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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
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International Journal of Computational Mathematics, 2020
Under investigation in this paper is a (3+1)-dimensional generalized Kadomtsev–Petviashvili equation in fluid mechanics and plasma physics. With the help of symbolic computation, we obtain and discuss the influence of the perturbed effect and disturbed ...
Meng Wang +5 more
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Under investigation in this paper is a (3+1)-dimensional generalized Kadomtsev–Petviashvili equation in fluid mechanics and plasma physics. With the help of symbolic computation, we obtain and discuss the influence of the perturbed effect and disturbed ...
Meng Wang +5 more
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Mathematical methods in the applied sciences, 2019
The present article deals with multi‐waves and breather wave solutions of the generalized Bogoyavlensky‐Konopelchenko equation by virtue of the Hirota bilinear operator method and the semi‐inverse variational principle. The obtained solutions for solving
J. Manafian +2 more
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The present article deals with multi‐waves and breather wave solutions of the generalized Bogoyavlensky‐Konopelchenko equation by virtue of the Hirota bilinear operator method and the semi‐inverse variational principle. The obtained solutions for solving
J. Manafian +2 more
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Physics Letters A, 2023
The authors present a comprehensive study on a \((3+1)\)-dimensional nonlinear Geng equation, a subject of considerable interest in the field of mathematical physics. Utilizing the Hirota bilinear method, the authors delve into the calculation of first- to fourth-order solutions of the equation, thereby contributing significantly to the existing body ...
Li, Bang-Qing, Ma, Yu-Lan
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The authors present a comprehensive study on a \((3+1)\)-dimensional nonlinear Geng equation, a subject of considerable interest in the field of mathematical physics. Utilizing the Hirota bilinear method, the authors delve into the calculation of first- to fourth-order solutions of the equation, thereby contributing significantly to the existing body ...
Li, Bang-Qing, Ma, Yu-Lan
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Applied Mathematics Letters, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li Zou, Zong-Bing Yu, Xiu-Bin Wang
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li Zou, Zong-Bing Yu, Xiu-Bin Wang
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Studies in applied mathematics (Cambridge)
In this paper, we construct breather and rogue wave solutions on the different periodic backgrounds in the focusing nonlinear Schrödinger equation by using the Darboux transformation.
Fang-Cheng Fan, Wang Tang, Guo-Fu Yu
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In this paper, we construct breather and rogue wave solutions on the different periodic backgrounds in the focusing nonlinear Schrödinger equation by using the Darboux transformation.
Fang-Cheng Fan, Wang Tang, Guo-Fu Yu
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The Physics of Fluids, 2023
Study of the water waves remains central to fluid physics, ocean dynamics, and engineering. In this paper, a (3 + 1)-dimensional extended shallow water wave equation is investigated via symbolic computation.
Chong-Dong Cheng +3 more
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Study of the water waves remains central to fluid physics, ocean dynamics, and engineering. In this paper, a (3 + 1)-dimensional extended shallow water wave equation is investigated via symbolic computation.
Chong-Dong Cheng +3 more
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