Results 31 to 40 of about 314 (67)

A Reciprocal Transformation for the Constant Astigmatism Equation [PDF]

, 2014
We introduce a nonlocal transformation to generate exact solutions of the constant astigmatism equation $z_{yy} + (1/z)_{xx} + 2 = 0$. The transformation is related to the special case of the famous B\"acklund transformation of the sine-Gordon equation ...
Hlaváč, Adam, Marvan, Michal
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Asymptotic parabolicity for strongly damped wave equations

, 2013
For $S$ a positive selfadjoint operator on a Hilbert space, \[ \frac{d^2u}{dt}(t) + 2 F(S)\frac{du}{dt}(t) + S^2u(t)=0 \] describes a class of wave equations with strong friction or damping if $F$ is a positive Borel function.
Fragnelli, Genni, Goldstein, Gisèle Ruiz, Goldstein, Jerome A., Romanelli, Silvia   +3 more
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Propagator of a Charged Particle with a Spin in Uniform Magnetic and Perpendicular Electric Fields

, 2008
We construct an explicit solution of the Cauchy initial value problem for the time-dependent Schroedinger equation for a charged particle with a spin moving in a uniform magnetic field and a perpendicular electric field varying with time.
A. Messia, A.F. Nikiforov, A.F. Nikiforov, B.R. Holstein, B.R. Holstein, C.E. Kenig, D.R. Haaheim, E. Merzbacher, E.D. Rainville, E.D. Rainville, E.M. Stein, Erwin Suazo, G. Staffilani, G.E. Andrews, G.N. Watson, G.P. Arrighini, I. Rodnianski, J. Howland, J.D. Jackson, J.D. Paliouras, K. Gottfried, K. Yajima, L.A. Beauregard, L.D. Landau, L.M.A. Bettencourt, L.S. Brown, N.S. Thomber, O.S. Rozanova, P. Nardone, R.P. Feynman, R.P. Feynman, R.P. Feynman, R.W. Robinett, Raquel M. Lopez, Ricardo Cordero-Soto, S. Flügge, Sergei K. Suslov, V. Naibo, V.M. Pérez-Garcia, V.P. Maslov   +39 more
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Two different fractional Stefan problems which are convergent to the same classical Stefan problem

, 2018
Two fractional Stefan problems are considered by using Riemann-Liouville and Caputo derivatives of order $\alpha \in (0,1)$ such that in the limit case ($\alpha =1$) both problems coincide with the same classical Stefan problem. For the one and the other
Atkinson, Banks, Bourkrouche, Błasik, Cannon, Caputo, Chandrasekharaiah, Erdélyi, Gurtin, Gusev, Hetnarski, Ignaczak, Joseph, Junyi, Li, Metzler, Podstrigach, Povstenko, Pskhu, Roscani, Roscani, Stankovic, Tarzia, Voller, Voller, Wright, Yuste   +26 more
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Probe method and a Carleman function

, 2020
A Carleman function is a special fundamental solution with a large parameter for the Laplace operator and gives a formula to calculate the value of the solution of the Cauchy problem in a domain for the Laplace equation.
Aizenberg L, Astala K, Astala K, Bateman H, Bateman H, Calderón A P, Cheng J, Evgrafov M A, Ikehata M, Ikehata M, Ikehata M, Ikehata M, Ikehata M, Ikehata M, Ikehata M, Ikehata M, Ikehata M, Ikehata M, Ikehata M, Kirsch A, Kress R, Masaru Ikehata, Vekua I N, Vekua I N, Yarmukhamedov Sh, Yarmukhamedov Sh, Yarmukhamedov Sh, Yarmukhamedov Sh   +27 more
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The Riccati System and a Diffusion-Type Equation [PDF]

, 2011
We discuss a method of constructing solution of the initial value problem for duffusion-type equations in terms of solutions of certain Riccati and Ermakov-type systems.
Suazo, Erwin, Suslov, Sergei K., Vega-Guzman, Jose M.   +2 more
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Explicit solutions for replicator-mutator equations: extinction vs. acceleration

, 2014
We consider a class of nonlocal reaction-diffusion problems, referred to as replicator-mutator equations in evolutionary genetics. By using explicit changes of unknown function, we show that they are equivalent to the heat equation and, therefore ...
Alfaro, Matthieu, Carles, Rémi
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On The Harmonic Oscillator Group [PDF]

, 2011
We discuss the maximum kinematical invariance group of the quantum harmonic oscillator from a view point of the Ermakov-type system. A six parameter family of the square integrable oscillator wave functions, which seems cannot be obtained by the standard
Lopez, Raquel M., Suslov, Sergei K., Vega-Guzman, Jose M.   +2 more
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Replicator-mutator equations with quadratic fitness

, 2016
This work completes our previous analysis on models arising in evolutionary genetics. We consider the so-called replicator-mutator equation, when the fitness is quadratic.
Alfaro, Matthieu, Carles, Rémi
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On the hierarchy of partially invariant submodels of differential equations

, 2007
It is noticed, that partially invariant solution (PIS) of differential equations in many cases can be represented as an invariant reduction of some PIS of the higher rank.
Chupakhin A P, Chupakhin A P, Golovin S V, Golovin S V, Golovin S V, Golovin S V, Golovin S V, Grundland A M, Ibragimov N H, Ibragimov N H, Ibragimov N H, Kulikovskij A G, Landau L D, LeVeque R J, Meleshko S V, Olver P J, Ovsyannikov L V, Ovsyannikov L V, Ovsyannikov L V, Ovsyannikov L V, Ovsyannikov L V, Pavlenko A S, Pommaret J F, Sergey V Golovin   +23 more
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