Dispersion equation and eigenvalues for the Zakharov-Shabat system using spectral parameter power series

Dispersion equation and eigenvalues for quantum wells using spectral parameter power series

Journal of Mathematical Physics ◽

10.1063/1.3579991 ◽

2011 ◽

Vol 52 (4) ◽

pp. 043522 ◽

Cited By ~ 21

Author(s):

Raúl Castillo-Pérez ◽

Vladislav V. Kravchenko ◽

Héctor Oviedo-Galdeano ◽

Vladimir S. Rabinovich

Keyword(s):

Power Series ◽

Quantum Wells ◽

Dispersion Equation ◽

Spectral Parameter ◽

Spectral parameter power series analysis of isotropic planarly layered waveguides

Applicable Analysis ◽

10.1080/00036811.2013.794940 ◽

2013 ◽

Vol 93 (4) ◽

pp. 729-755 ◽

Cited By ~ 14

Author(s):

Víctor Barrera-Figueroa ◽

Vladislav V. Kravchenko ◽

Vladimir S. Rabinovich

Keyword(s):

Power Series ◽

Spectral Parameter ◽

Series Analysis ◽

Analysis of graded-index optical fibers by the spectral parameter power series method

Journal of Optics ◽

10.1088/2040-8978/17/2/025607 ◽

2015 ◽

Vol 17 (2) ◽

pp. 025607 ◽

Cited By ~ 9

Author(s):

Raúl Castillo-Pérez ◽

Vladislav V Kravchenko ◽

Sergii M Torba

Keyword(s):

Power Series ◽

Optical Fibers ◽

Spectral Parameter ◽

Series Method ◽

Power Series Method ◽

Graded Index ◽

Method of the spectral parameter power series in problems of underwater acoustics of the stratified ocean

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3197 ◽

2014 ◽

Vol 38 (10) ◽

pp. 1990-1999 ◽

Cited By ~ 8

Author(s):

Vladimir S. Rabinovich ◽

Josué Hernández-Juárez

Keyword(s):

Power Series ◽

Spectral Parameter ◽

Underwater Acoustics ◽

Stratified Ocean

Spectral parameter power series for Sturm–Liouville equations on time scales

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.01.037 ◽

2012 ◽

Vol 218 (14) ◽

pp. 7671-7678 ◽

Cited By ~ 7

Author(s):

Lynn Erbe ◽

Raziye Mert ◽

Allan Peterson

Keyword(s):

Power Series ◽

Time Scales ◽

Spectral Parameter ◽

Sturm Liouville

Modified spectral parameter power series representations for solutions of Sturm–Liouville equations and their applications

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.03.153 ◽

2014 ◽

Vol 238 ◽

pp. 82-105 ◽

Cited By ~ 3

Author(s):

Vladislav V. Kravchenko ◽

Sergii M. Torba

Keyword(s):

Power Series ◽

Spectral Parameter ◽

Series Representations ◽

Sturm Liouville

Spectral parameter power series for Sturm-Liouville problems

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.1205 ◽

2009 ◽

Vol 33 (4) ◽

pp. 459-468 ◽

Cited By ~ 65

Author(s):

Vladislav V. Kravchenko ◽

R. Michael Porter

Keyword(s):

Power Series ◽

Spectral Parameter ◽

Sturm Liouville

The phase retrieval problem: a spectral parameter power series approach

Journal of Engineering Mathematics ◽

10.1007/s10665-013-9644-7 ◽

2013 ◽

Vol 85 (1) ◽

pp. 179-209 ◽

Cited By ~ 2

Author(s):

Víctor Barrera-Figueroa ◽

Herminio Blancarte ◽

Vladislav V. Kravchenko

Keyword(s):

Power Series ◽

Spectral Parameter ◽

Phase Retrieval ◽

Retrieval Problem

Spectral parameter power series representation for solutions of linear system of two first order differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.124911 ◽

2020 ◽

Vol 370 ◽

pp. 124911 ◽

Cited By ~ 1

Author(s):

Nelson Gutiérrez Jiménez ◽

Sergii M. Torba

Keyword(s):

Linear System ◽

Power Series ◽

Differential Equations ◽

Spectral Parameter ◽

Series Representation ◽

First Order ◽

First Order Differential Equations ◽

Power Series Representation

The heat transfer problem for inhomogeneous materials in photoacoustic applications and spectral parameter power series

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.2732 ◽

2013 ◽

Vol 36 (14) ◽

pp. 1878-1891 ◽

Cited By ~ 6

Author(s):

Kira V. Khmelnytskaya ◽

Ibrahim Serroukh

Keyword(s):

Heat Transfer ◽

Power Series ◽

Spectral Parameter ◽

Transfer Problem ◽

Heat Transfer Problem ◽

Inhomogeneous Materials ◽