Results 11 to 20 of about 278,413 (313)
Complexity, 2020 We investigate a reduced generalized (3 + 1)-dimensional shallow water wave equation, which can be used to describe the nonlinear dynamic behavior in physics. By employing Bell’s polynomials, the bilinear form of the equation is derived in a very natural
Jing Wang, Biao Li
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Results in Physics, 2020 This paper studies the dynamics of shallow water waves with the (3 + 1)-dimensional generalized Kadomtsev–Petviashvili–Boussinesq (gKP–Boussinesq) equation arising in fluid mechanics.
Gour Chandra Paul +2 more
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Breather and lump-periodic wave solutions to a system of nonlinear wave model arising in fluid mechanics [PDF]
Nonlinear dynamics, 2022 The breather wave and lump periodic wave solutions for the (2 + 1)-dimensional Caudrey–Dodd– Gibbon–Kotera–Sawada system are established in this paper. To achieve such novel solutions, we employ the Hirota bilinear approach.
Alshomrani, Ali S. +3 more
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Variational methods for breather solutions of nonlinear wave equations
, 2020 We construct infinitely many real-valued, time-periodic breather solutions of the nonlinear wave equation $$\partial^2_t U-\Delta U=Q(x)|U|^{p-2}U\quad\text{ on }\mathbb{T}\times\mathbb{R}^N$$ with suitable $N\ge2, p > 2$ and localized nonnegative $Q ...
Scheider, Dominic, Mandel, Rainer
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Modern Physics Letters B, 2022 Hirota's bilinear method (HBM) has been successfully applied to the (2 + 1)-dimensional Pavlov equation to analyze the different wave structures in this paper.
Bilal, Muhammad +4 more
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Computers and Mathematics With Applications, 2019 Herein, a (3+1)-dimensional generalized shallow water wave equation with variable coefficients is studied, which describes the flow below a pressure surface in a fluid.
Jian-Guo Liu +2 more
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Breather wave, rogue wave and solitary wave solutions of a coupled nonlinear Schrödinger equation
Applied Mathematics Letters, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lian-Li Feng, Tian-Tian Zhang
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Advances in Mathematical Physics, 2020 In this paper, based on a bilinear differential equation, we study the breather wave solutions by employing the extended homoclinic test method. By constructing the different forms, we also consider the interaction solutions.
Hongcai Ma, Caoyin Zhang, Aiping Deng
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Revealing homoclinic breather waves, periodic lump waves and other waves forms of an integrable reduced spin Hirota-Maxwell-Bloch system [PDF]
Scientific ReportsIn this manuscript, we investigate various wave forms of an integrable reduced spin Hirota-Maxwell-Bloch system, which accounts for the femtosecond pulses transmitted in an erbium doped fibre.
Baboucarr Ceesay +4 more
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Volume 2: Structures, Safety and Reliability, 2012 During the design process of floating structures, different specifications have to be aligned such as the range of application, the warranty of economical efficiency as well as the reliability and are an inevitable integral part of the evaluation process
Clauss, Günther F. +3 more
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