Results 81 to 90 of about 6,812 (242)
Soliton Solutions for Quasilinear Schrödinger Equations [PDF]
Journal of Applied Mathematics, 2013 Summary: By using a change of variables, we get new equations, whose respective associated functionals are well defined in \(H^1(\mathbb R^N)\) and satisfy the geometric hypotheses of the mountain pass theorem. Using this fact, we obtain a nontrivial solution.
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Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar +3 more
wiley +1 more source
Unification of integrable q-difference equations
Electronic Journal of Differential Equations, 2015 This article presents a unifying framework for q-discrete equations. We introduce a generalized q-difference equation in Hirota bilinear form and develop the associated three-q-soliton solutions which are described in polynomials of power functions ...
Burcu Silindir, Duygu Soyoglu
doaj
Smooth and peaked solitons of the CH equation [PDF]
Journal of Physics A: Mathematical and Theoretical, 2010 The relations between smooth and peaked soliton solutions are reviewed for the Camassa-Holm (CH) shallow water wave equation in one spatial dimension. The canonical Hamiltonian formulation of the CH equation in action-angle variables is expressed for solitons by using the scattering data for its associated isospectral eigenvalue problem, rephrased as a
Holm, Darryl D., Ivanov, Rossen I.
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Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1831-1918, August 2026.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source
Soliton-induced Majorana fermions in a one-dimensional atomic topological superfluid [PDF]
, 2015 We theoretically investigate the behavior of dark solitons in a one-dimensional spin-orbit coupled atomic Fermi gas in harmonic traps by solving self-consistently the Bogoliubov-de Gennes equations.
Xiaji Liu (18925048)
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Fractal and FractionalIn this work, a fractional consistent Riccati expansion (FCRE) method is proposed to seek soliton and soliton-cnoidal solutions for fractional nonlinear evolutional equations.
Lihua Zhang +4 more
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Exceptional Light Propagation via Generalized Bulk‐Edge Correspondence
Nanophotonics, Volume 15, Issue 13, 13 July 2026.We show that unlike in electronic systems, localized edge states in topological photonics are governed not only by nontrivial bulk topology, but also by polarization‐dependent light‐line confinement conditions inherent to Maxwell's equations. This fundamentally generalized bulk‐edge correspondence unlocks new regimes of tunable near‐cutoff localization
Heitor da Silva +4 more
wiley +1 more source
Scalar soliton quantization with generic moduli [PDF]
, 2014 This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credArticle funded by SCOAP3. CP is
Papageorgakis, Constantinos +5 more
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Solitons in the chiral equation [PDF]
Communications in Mathematical Physics, 1990 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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