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Darboux transformation for classical acoustic spectral problem [PDF]
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 49, Page 3123-3142, 2003., 2003 We study discrete isospectral symmetries for the classical acoustic spectral problem in spatial dimensions one and two by developing a Darboux (Moutard) transformation formalism for this problem. The procedure follows steps similar to those for the Schrödinger operator. However, there is no one‐to‐one correspondence between the two problems.
A. A. Yurova, A. V. Yurov, M. Rudnev
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On a system of multi-component Ginzburg-Landau vortices
Advances in Nonlinear Analysis, 2023 We study the asymptotic behavior of solutions for nn-component Ginzburg-Landau equations as ε→0\varepsilon \to 0. We prove that the minimizers converge locally in any Ck{C}^{k}-norm to a solution of a system of generalized harmonic map equations.
Hadiji Rejeb, Han Jongmin, Sohn Juhee
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Alexandria Engineering Journal, 2021 This research is based on three main pillars which are studying the computational solutions of the modified Benjamin–Bona–Mahony (BBM) equation via the modified Khater method then investigating the stability property of the obtained solutions through the
Mostafa M.A. Khater +4 more
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Semi–analytical and numerical simulations of the modified Benjamin–Bona–Mahony model
Journal of Ocean Engineering and Science, 2022 In this article, semi-analytical and numerical simulations of the well-known modified Benjamin–Bona–Mahony (mBBM) equation are processed. This study targets to check the accuracy of the obtained analytical solutions of the mBBM model that have been ...
Mostafa M.A. Khater, Samir A. Salama
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Results in Physics, 2020 The time-fractional problem is a class of important models to represent the real phenomena. We construct new solitary waves for the space-time fractional simplified modified Camassa-Holm (MCH) and the time fractional Phi-4 equations using the unified ...
Mahmoud A.E. Abdelrahman +1 more
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Normalized multi-bump solutions for saturable Schrödinger equations
Advances in Nonlinear Analysis, 2019 In this paper, we are concerned with the existence of multi-bump solutions for a class of semiclassical saturable Schrödinger equations with an density function:
Wang Xiaoming, Wang Zhi-Qiang
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On the weak solutions of the forward problem in EEG
Journal of Applied Mathematics, Volume 2003, Issue 12, Page 647-656, 2003., 2003 The process underlying the generation of the EEG signals can be described as a set of current sources within the brain. The potential distribution produced by these sources can be measured on the scalp and inside the brain by means of an EEG recorder.
M. I. Troparevsky, D. Rubio
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Born‐infeld electrodynamics: Clifford number and spinor representations
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 2, Page 77-84, 2002., 2002 The Clifford number formalism for Maxwell equations is considered. The Clifford imaginary unit for space‐time is introduced as coordinate independent form of fully antisymmetric fourth‐rank tensor. The representation of Maxwell equations in massless Dirac equation form is considered; we also consider two approaches to the invariance of Dirac equation ...
Alexander A. Chernitskii
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Advanced Nonlinear Studies, 2020 In this paper, we study the existence of ground state solutions for the nonlinear Schrödinger–Bopp–Podolsky system with critical Sobolev ...
Li Lin, Pucci Patrizia, Tang Xianhua
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Iterative solution of quadratic tensor equations for mutual polarisation
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 5, Page 301-312, 2002., 2002 To describe mutual polarisation in bulk materials containing high polarisability molecules, local fields beyond the linear approximation need to be included. A second order tensor equation is formulated, and it describes this in the case of crystalline or at least locally ordered materials such as an idealised polymer. It is shown that this equation is
Wynand S. Verwoerd
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