Results 21 to 30 of about 19,967,816 (378)
Analytical construction of soliton families in one‐ and two‐dimensional nonlinear Schrödinger equations with nonparity‐time‐symmetric complex potentials [PDF]
Studies in applied mathematics (Cambridge), 2021 The existence of soliton families in nonparity‐time‐symmetric complex potentials remains poorly understood, especially in two spatial dimensions. In this article, we analytically investigate the bifurcation of soliton families from linear modes in one ...
Jianke Yang
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A Critical Review on the Complex Potentials in Linear Elastic Fracture Mechanics
Journal of elasticity, 2022 Introducing a crack in an elastic plate is challenging from the mathematical point of view and relevant within an engineering context of evaluating strength and reliability of structures. Accordingly, a multitude of associated works is available to date,
J. Scheel, D. Wallenta, A. Ricoeur
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Second-Order Multiparameter Problems Containing Complex Potentials
Axioms, 2022 In this work, we provide some lower bounds for the number of squarly integrable solutions of some second-order multiparameter differential equations. To obtain the results, we use both Sims and Sleeman’s ideas and the results are some generalization of ...
Ibrahim Erdal, Ekin Uğurlu
doaj +1 more source
Sharp bounds for eigenvalues of biharmonic operators with complex potentials in low dimensions [PDF]
Mathematische Nachrichten, 2019 We derive sharp quantitative bounds for eigenvalues of biharmonic operators perturbed by complex‐valued potentials in dimensions one, two and three.
O. O. Ibrogimov +2 more
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Machine learning potentials for complex aqueous systems made simple [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 2021 Significance Understanding complex materials, in particular those with solid–liquid interfaces, such as water on surfaces or under confinement, is a key challenge for technological and scientific progress.
Christoph Schran +5 more
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Continuous families of solitary waves in non-symmetric complex potentials: A Melnikov theory approach [PDF]
Chaos, Solitons & Fractals, 2018 The existence of stationary solitary waves in symmetric and non-symmetric complex potentials is studied by means of Melnikov’s perturbation method.
Y. Kominis +4 more
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The Moments of Certain Complex Potentials [PDF]
Proceedings of the American Mathematical Society, 1986 Let M M be a compact homogeneous space, let Δ \Delta be the Laplacian, and let V V be the vector space of Fegan potentials. If q ∈ V q \in V , then Δ \Delta and Δ + q \Delta + q have the same ...
Fegan, Howard D., Gilkey, Peter B.
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SUSY Quantum Mechanics with Complex Superpotentials and Real Energy Spectra [PDF]
, 1998 We extend the standard intertwining relations used in Supersymmetrical (SUSY) Quantum Mechanics which involve real superpotentials to complex superpotentials.
A. A. ANDRIANOV +4 more
core +2 more sources
Journal of Mathematical Analysis and Applications, 1999 The authors show that complex potentials associated with locally sourceless and locally irrotational flows defined on (possibly infinitely connected) domains in the complex plane have logarithmic singularities. Additionally, some applications to flows around contours are given.
Boettger, Ulrich +2 more
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Quantum complex Hénon–Heiles potentials [PDF]
Physics Letters A, 2001 Quantum-mechanical PT-symmetric theories associated with complex cubic potentials such as V=x^2+y^2+igxy^2 and V=x^2+y^2+z^2+igxyz, where g is a real parameter, are investigated. These theories appear to possess real, positive spectra. Low-lying energy levels are calculated to very high order in perturbation theory.
Simsek, M +3 more
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