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(2006)
Inductive–capacitive model of excitable biological tissue
A. Volobuev (2018)
The Nonlinear Analysis of Chiral MediumChirality from Molecular Electronic States
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Spreading of a pulse of electromagnetic field in a dielectric under the conditions of self-induced transparency
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Translated under the title: Solitony i metod obratnoi zadachi
A.N. Volobuev (2006)
Spreading of a pulse of electromagnetic field in a dielectric under the conditions of self-induced transparencyMat. Model., 18
M. Ablowitz, H. Segur (1981)
Solitons and the Inverse Scattering Transform
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Kurs differentsial'nykh uravnenii (A Course of Differential Equations), Moscow: Fizmatlit
R. Dodd, J. Eilbeck, J. Gibbon, H. Morris (1982)
Solitons and Nonlinear Wave Equations
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Vvedenie v fizicheskuyu akustiku (Introduction to Physical Acoustics)
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Uravneniya matematicheskoi fiziki (Equations of Mathematical Physics)
We consider a nonlinear Schrödinger equation arising in a number of physicalproblems. It is shown that when the real part is separated in this equation, there arises anonlinear differential equation that has at least two types of solutions, a multiwave solution and asolution in the form of standing waves. Numerical examples of the multiwave solution and itstransition to the standing wave solution are presented.
Differential Equations – Springer Journals
Published: Jul 8, 2021
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