Results 1 to 10 of about 41 (40)
Results in Physics, 2017 The higher order nonlinear Schrödinger (NLS) equation describes ultra-short pluse propagation in optical fibres. By using the amplitude ansatz method, we derive the exact bright, dark and bright-dark solitary wave soliton solutions of the generalized ...
Aly R. Seadawy, Dianchen Lu
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Journal of Ocean Engineering and Science, 2022 In this paper we are interested in investigating the physical shape-changed propagations to the generalized Equal-Width equation through studying the explicit solutions of Wazwaz-Benjamin-Bona-Mahony model.
Imad Jaradat, Marwan Alquran
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On similarity solutions to (2+1)-dispersive long-wave equations
Journal of Ocean Engineering and Science, 2023 This work is devoted to get a new family of analytical solutions of the (2+1)-coupled dispersive long wave equations propagating in an infinitely long channel with constant depth, and can be observed in an open sea or in wide channels.
Raj Kumar +2 more
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Entire solutions of certain fourth order elliptic problems and related inequalities
Advances in Nonlinear Analysis, 2022 We study distributional solutions of semilinear biharmonic equations of the type Δ2u+f(u)=0 onℝN,{\Delta ^2}u + f(u) = 0\quad on\;{{\mathbb R} ^N}, where f is a continuous function satisfying f (t)t ≥ c |t|q+1 for all t ∈ ℝ with c > 0 and q > 1.
D’Ambrosio Lorenzo, Mitidieri Enzo
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Annales Mathematicae Silesianae, 2020 This work presents a numerical comparison between two efficient methods namely the fractional natural variational iteration method (FNVIM) and the fractional natural homotopy perturbation method (FNHPM) to solve a certain type of nonlinear Caputo time ...
Khalouta Ali, Kadem Abdelouahab
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A comparison principle for nonlinear heat Rockland operators on graded groups
Bulletin of the London Mathematical Society, Volume 50, Issue 5, Page 753-758, October 2018., 2018 Abstract In this note we show a comparison principle for nonlinear heat Rockland operators on graded groups. We give a simple proof for it using purely algebraic relations. As an application of the established comparison principle we prove the global in t‐boundedness of solutions for a class of nonlinear equations for the heat p‐sub‐Laplacian on ...
Michael Ruzhansky, Durvudkhan Suragan
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Results in Physics, 2016 The propagation of hydrodynamic wave packets and media with negative refractive index is studied in a quintic derivative nonlinear Schrödinger (DNLS) equation.
Chen Yue, Aly Seadawy, Dianchen Lu
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Advances in Nonlinear AnalysisWe study stationary solutions of McKean–Vlasov equation on a high-dimensional sphere and other compact Riemannian manifolds. We extend the equivalence of the energetic problem formulation to the manifold setting and characterize critical points of the ...
Shalova Anna, Schlichting André
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Nonlinear EngineeringPure-quartic solitons have recently gained increasing interest due to their unique dispersion landscape, where pulse evolution is governed solely by fourth-order dispersion.
Elsonbaty Nivan M. +4 more
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Spatio-temporal behaviour of SIR models with cross-diffusion and vital dynamics
European Journal of Applied MathematicsContemporary epidemiological models often involve spatial variation, providing an avenue to investigate the averaged dynamics of individual movements.
Maryam Ahmadpoortorkamani +1 more
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