Results 51 to 60 of about 3,970,466 (307)
Frontiers in Physics, 2022 A class of generalized homoclinic solutions of the nonlinear Schrödinger (NLS) equation in 1+1 dimensions is studied. These are homoclinic breathers that are shown to be derivable from the ratio of Riemann theta functions for the genus-2 solutions of ...
Alfred R. Osborne
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Results in Physics, 2021 In this paper, we study the generalized Burgers equation with variable coefficients which is considered in soliton theory and generated by considering the Hirota bilinear operators. We retrieve some novel exact analytical solutions, including 2-lump-type
Ziqiang Li +5 more
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On the optimal focusing of solitons and breathers in long‐wave models [PDF]
Studies in Applied Mathematics, 2019 AbstractConditions of optimal (synchronized) collisions of any number of solitons and breathers are studied within the framework of the Gardner equation (GE) with positive cubic nonlinearity, which in the limits of small and large amplitudes tends to other long‐wave models, the classic and the modified Korteweg–de Vries equations.
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The rogue wave and breather solution of the Gerdjikov-Ivanov equation [PDF]
Journal of Mathematical Physics, 2012 The Gerdjikov-Ivanov (GI) system of q and r is defined by a quadratic polynomial spectral problem with 2 × 2 matrix coefficients. Each element of the matrix of n-fold Darboux transformation (DT) for this system is expressed by a ratio of (n + 1) × (n + 1) determinant and n × n determinant of eigenfunctions, which implies the determinant representation ...
Xu, Shuwei, He, Jingsong
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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
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Oregon Wave Energy Trust (OWET) is a nonprofit public-private partnership funded by the Oregon Innovation Council. Its mission is to support the responsible development of wave energy in Oregon. OWET emphasizes an inclusive, collaborative model to ensure
Oregon Wave Energy Trust
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Some Exact Solutions to Generalized Kadomtsev-Petviashvili Equation
Advances in Mathematical Physics, 2022 Most of the papers have explored the interactions between solitons with a zero background, while reports about exact solutions for nonzero background are rare.
Bao Wang, Zhiqiang Chen
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A Blueprint for Ocean Energy Development 2010-2015 [PDF]
In an effort to foster a collaborative approach to advancing the ocean energy industry, OWET convened the OWET 2010 Developersʼ Summit on September 27 and 28, 2010 in Portland, Oregon.
Oregon Wave Energy Trust
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background We aimed to identify the proportion of individuals with a confirmed diagnosis of childhood absence epilepsy (CAE) or juvenile absence epilepsy (JAE) who show a negative routine EEG (rEEG), and to determine the main factors associated with this finding.
Francesco Fortunato +7 more
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Breather solutions for semilinear wave equations
Journal of Mathematical Analysis and ApplicationsWe prove existence of real-valued, time-periodic and spatially localized solutions (breathers) of semilinear wave equations V (x)u$_{tt}$ − u$_{xx}$ = Γ(x)|u|$^{p−1}$u on $\mathbb{R}$$^2$ for all values of p ∈ (1, ∞). Using tools from the calculus of variations our main result provides breathers as ground states of an indefinite functional under ...
Julia Henninger +2 more
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