Results 11 to 20 of about 3,940,396 (270)
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
doaj +2 more sources
Variational methods for breather solutions of nonlinear wave equations [PDF]
, 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
core +2 more sources
Rogue waves: from nonlinear Schrödinger breather solutions to sea-keeping test. [PDF]
PLoS ONE, 2013 Under suitable assumptions, the nonlinear dynamics of surface gravity waves can be modeled by the one-dimensional nonlinear Schrödinger equation. Besides traveling wave solutions like solitons, this model admits also breather solutions that are now ...
Miguel Onorato +3 more
doaj +5 more sources
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
doaj +2 more sources
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
+8 more sources
Wave Climate, Geotechnical and Geophysical Analysis of the Tillamook Jetties [PDF]
Wave Energy AS (WE) is an ocean energy company from Norway established to develop, test, market and commercialize the patented SSG™ wave energy converter technology.
Wave Energy AS, Bakke, Monica
core +6 more sources
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
core +3 more sources
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
openaire +2 more sources
Variational methods for breather solutions of nonlinear wave equations
Nonlinearity, 2021 Abstract We construct infinitely many real-valued, time-periodic breather solutions of the nonlinear wave equation ∂ t
Mandel, Rainer, Scheider, Dominic
openaire +3 more sources
Interaction solution to the (3+1)-D negative-order KdV first structure
Partial Differential Equations in Applied Mathematics, 2023 We derive N-solitons and interaction solution for the (3+1)-D negative-order KdV first structure that arises in shallow-water waves. We use the bilinear scheme and the simplified Hirota technique for this solution. From the multiple solitons solution, we
Mohammad Safi Ullah
doaj +1 more source