Аннотация:
Проведена групповая классификация уравнения вида Tt=(KTx)x+Q, K>0, с произвольным элементом {K(T),Q(T)}. Для каждой специализации произвольного элемента, дающей расширение основной группы, построена оптимальная система подгрупп.
Поступила в редакцию: 24.12.1980 Исправленный вариант: 15.03.1982
\RBibitem{Dor82}
\by В.~А.~Дородницын
\paper Об инвариантных решениях уравнения нелинейной теплопроводности с источником
\jour Ж. вычисл. матем. и матем. физ.
\yr 1982
\vol 22
\issue 6
\pages 1393--1400
\mathnet{http://mi.mathnet.ru/zvmmf5632}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=683596}
\zmath{https://zbmath.org/?q=an:0535.35040}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1982
\vol 22
\issue 6
\pages 115--122
\crossref{https://doi.org/10.1016/0041-5553(82)90102-1}
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https://www.mathnet.ru/rus/zvmmf5632
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