Results 21 to 30 of about 278,413 (313)
Comparative analysis of lump, breather, and interaction solutions using a bidirectional data mapping approach [PDF]
Scientific ReportsThis study analyzes the $$(2+1)$$ -dimensional Boussinesq equation, a fundamental model in coastal and ocean engineering for describing the propagation of long waves in shallow water.
Syeda Sarwat Kazmi, Muhammad Bilal Riaz
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A novel exploration for traveling wave solutions to the integrable equation of wave packet envelope
Partial Differential Equations in Applied Mathematics, 2022 In this paper, with the aid of symbolic computation, different types of traveling wave solutions to a model involving an integrable equation for wave packet envelope have been presented.
Melike Kaplan, Arzu Akbulut
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SymmetryThe goal of this research is to utilize some ansatz forms of solutions to obtain novel forms of soliton solutions for the Benney–Luke equation. It is a mathematically valid approximation that describes the propagation of two-way water waves in the ...
Guo Wei +4 more
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Results in Physics, 2023 In the past, we haven't paid much attention to higher-dimensional models, which are actually more consistent with the real atmosphere. In this manuscript, we derive a high-dimensional Kadomtsev-Petviashvili equation from a fluid system based on the ...
Na Cao +3 more
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Breather Wave and Kinky Periodic Wave Solutions of One-Dimensional Oskolkov Equation
Mathematical Modelling of Engineering Problems, 2019 Received: 14 April 2019 Accepted: 2 July 2019 In this work, we confer the propagation of nonlinear Kinky periodic wave and breather wave for the dominant nonlinear pseudo-parabolic physical models: the one-dimensional Oskolkov equation is explored.
Mamunur Roshid, Habibul Bashar
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Breather Turbulence: Exact Spectral and Stochastic Solutions of the Nonlinear Schrödinger Equation
Fluids, 2019 I address the problem of breather turbulence in ocean waves from the point of view of the exact spectral solutions of the nonlinear Schrödinger (NLS) equation using two tools of mathematical physics: (1) the inverse scattering transform (IST) for ...
Alfred R. Osborne
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Stability of Breathers for a Periodic Klein–Gordon Equation [PDF]
EntropyThe existence of breather-type solutions, i.e., solutions that are periodic in time and exponentially localized in space, is a very unusual feature for continuum, nonlinear wave-type equations.
Martina Chirilus-Bruckner +2 more
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Breather solutions for a quasi‐linear (1+1)‐dimensional wave equation [PDF]
Studies in Applied Mathematics, 2021 We consider the (1 + 1)-dimensional quasi-linear wave equation $𝑔(𝑥)𝑤_{𝑡𝑡} − 𝑤_{𝑥𝑥} + ℎ(𝑥)(𝑤^{3}_{𝑡} )_{𝑡} = 0$ on ℝ×ℝ that arises in the study of localized electromagnetic waves modeled by Kerr-nonlinear Maxwell equations. We are interested in time-periodic, spatially localized solutions.
Kohler, Simon, Reichel, Wolfgang
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Soliton, breather-like and dark-soliton-breather-like solutions for the coupled long-wave–short-wave system [PDF]
Nonlinear Dynamics, 2021 Abstract In this paper, we will obtain the exact $N$-soliton solution of the coupled long-wave-short-wave system via the developed Hirota bilinear method. Through manipulating the relevant parameters, we will construct different types of solutions which include breather-like solutions and dark-soliton-breather-like solutions.
Kuai Bi +3 more
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Darboux Transformation and Soliton Solution of the Nonlocal Generalized Sasa–Satsuma Equation
Mathematics, 2023 This paper aims to seek soliton solutions for the nonlocal generalized Sasa–Satsuma (gSS) equation by constructing the Darboux transformation (DT). We obtain soliton solutions for the nonlocal gSS equation, including double-periodic wave, breather-like ...
Hong-Qian Sun, Zuo-Nong Zhu
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