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Teoreticheskaya i Matematicheskaya Fizika, 1998, Volume 114, Number 3, Pages 366–379
DOI: https://doi.org/10.4213/tmf846 (Mi tmf846) 		 
Nonlinear localized waves in a medium with nonlocal interaction

V. I. Korneeva, N. E. Kulaginb, A. F. Popkovb

a Moscow State Institute of Electronic Technology (Technical University)
b State Research Institute of Physical Problems
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DOI: https://doi.org/10.4213/tmf846
Abstract: Soliton solutions are found for nonlinear integro-differential equations with a type $\lambda/(\tau-\tau')$ kernel used to describe particle tunneling and magnetic and superconducting vortices in a medium with nonlocal interaction. The Fourier transform method is applied to derive asymptotic formulas for even and odd localized solutions. Analytical solutions are found for particular parameter values. A complete pattern is constructed for the behavior of soliton solutions in an arbitrary range of the interaction parameter $\lambda$ by means of numerical calculations
Received: 10.09.1997
English version:
Theoretical and Mathematical Physics, 1998, Volume 114, Issue 3, Pages 288–298
DOI: https://doi.org/10.1007/BF02575442
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Language: Russian
Citation: V. I. Korneev, N. E. Kulagin, A. F. Popkov, “Nonlinear localized waves in a medium with nonlocal interaction”, TMF, 114:3 (1998), 366–379; Theoret. and Math. Phys., 114:3 (1998), 288–298
Citation in format AMSBIB
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\paper Nonlinear localized waves in a~medium with nonlocal interaction
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\pages 366--379
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\jour Theoret. and Math. Phys.
\yr 1998
\vol 114
\issue 3
\pages 288--298
\crossref{https://doi.org/10.1007/BF02575442}
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