Geodesic
Nonlinear localized waves in a~medium with nonlocal interaction
Teoretičeskaâ i matematičeskaâ fizika, Tome 114 (1998) no. 3, pp. 366-379

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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 
@article{TMF_1998_114_3_a3,
     author = {V. I. Korneev and N. E. Kulagin and A. F. Popkov},
     title = {Nonlinear localized waves in a~medium with nonlocal interaction},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {366--379},
     publisher = {mathdoc},
     volume = {114},
     number = {3},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1998_114_3_a3/}
}
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V. I. Korneev; N. E. Kulagin; A. F. Popkov. Nonlinear localized waves in a~medium with nonlocal interaction. Teoretičeskaâ i matematičeskaâ fizika, Tome 114 (1998) no. 3, pp. 366-379. http://geodesic.mathdoc.fr/item/TMF_1998_114_3_a3/