Results 41 to 50 of about 3,940,396 (270)
Mathematics, 2022 This manuscript consist of diverse forms of lump: lump one stripe, lump two stripe, generalized breathers, Akhmediev breather, multiwave, M-shaped rational and rogue wave solutions for the complex cubic quintic Ginzburg Landau (CQGL) equation with ...
Aly R. Seadawy +2 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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General breather and rogue wave solutions to the complex short pulse equation [PDF]
, 2022 In the present paper, we attempt to construct both the breather and rogue wave solutions to the focusing complex short pulse (fCSP) equation via the KP–Toda reduction method.
Zhang, Yujuan, Ma, Ruyun, Feng, Bao-Feng
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Multi-wave, homoclinic breather,
, 2021 In this article, we construct multi-wave, homoclinic breather, M-shaped rational and periodic cross kink wave solutions for coupled-Higgs equation (CHE) by using distinct transformations.
S. T. R. Rizvi +5 more
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Breather Solutions of N-wave Equations
, 2012 We consider $N$-wave type equations related to symplectic and orthogonal algebras. We obtain their soliton solutions in the case when two different $\mathbb{Z}_2$ reductions (or equivalently one $\mathbb{Z}_{2} \times \mathbb{Z}_{2}$-reduction) are imposed.
Gerdjikov, Vladimir, Valchev, Tihomir
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Lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation
Open Physics, 2021 The aim of this article was to address the lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation with the aid of Hirota bilinear technique. This model concerns in a massive nematic liquid crystal director field.
Seadawy Aly R. +4 more
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Breather and rogue wave solutions of a generalized nonlinear Schrödinger equation
Physical Review E, 2013 20 pages, 7 figures.
Wang, L. H., Porsezian, K., He, J. S.
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Nonlinear dynamics for different nonautonomous wave structure solutions
Open Physics, 2022 Based on the positive quadratic function method, the rich nonautonomous solutions of a generalized (2+1)-dimensional variable-coefficient breaking soliton equation with different wave structures are given.
Li Kun-Qiong
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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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Exact Periodic Wave, Bisoliton, and Various Breather Solutions for the Zakharov Equations [PDF]
Mathematical Problems in Engineering, 2015 The Zakharov equations, which involve the interactions between Langmuir and ion acoustic waves in plasma, are analytically studied. By using the method of Exp-function, the periodic wave, bisoliton, Akhmediev breather, Ma breather, and Peregrine breather of the Zakharov equations are obtained.
Wang, Heng +3 more
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