Publication: Traveling waves and undercompressive shocks in solutions of the generalized Korteweg–de Vries–Burgers equation with a time-dependent dissipation coefficient distribution
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2020
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© 2020, Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.Solutions of the generalized KdV–Burgers equation are analyzed in the case when the dissipation coefficient depends on the spatial coordinate and time. Solutions in the form of traveling waves describing the structure of discontinuities, including special discontinuities, are studied. In the frame of this problem, nonstationary solutions of the generalized KdV–Burgers equation including the special discontinuity are numerically found.
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Chugainova, A. P. Traveling waves and undercompressive shocks in solutions of the generalized Korteweg–de Vries–Burgers equation with a time-dependent dissipation coefficient distribution / Chugainova, A.P., Shargatov, V.A. // European Physical Journal Plus. - 2020. - 135. - № 8. - 10.1140/epjp/s13360-020-00659-3
URI
https://www.doi.org/10.1140/epjp/s13360-020-00659-3
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https://openrepository.mephi.ru/handle/123456789/22151
https://www.scopus.com/record/display.uri?eid=2-s2.0-85089245081&origin=resultslist
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000561111300003
https://openrepository.mephi.ru/handle/123456789/22151