Факторизация линейных дифференциальных операторов с частными производными и метод Дарбу интегрирования нелинейных уравнений с частными производными
С. П. Царев

Эта публикация цитируется в следующих статьяx:

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5. Т. В. Редькина, О. В. Новикова, “Применение дифференциальных связей Бэклунда для построения точных решений нелинейных гиперболических уравнений”, Известия высших учебных заведений. Поволжский регион. Физико-математические науки, 2020, № 3, 54–67    
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10. Sergey Ya. Startsev, “Formal Integrals and Noether Operators of Nonlinear Hyperbolic Partial Differential Systems Admitting a Rich Set of Symmetries”, SIGMA, 13 (2017), 034, 20 pp.    
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18. Fritz Schwarz, Texts & Monographs in Symbolic Computation, Loewy Decomposition of Linear Differential Equations, 2012, 177  
19. Fritz Schwarz, Loewy Decomposition of Linear Differential Equations, 2012, 1  
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21. Fritz Schwarz, Texts & Monographs in Symbolic Computation, Loewy Decomposition of Linear Differential Equations, 2012, 149  
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27. А. В. Жибер, Ю. Г. Михайлова, “Алгоритм построения общего решения $n$-компонентной гиперболической системы уравнений с нулевыми инвариантами Лапласа и краевые задачи”, Уфимск. матем. журн., 1:3 (2009), 28–45      
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36. И. Т. Хабибуллин, “Обрывы цепочки Тоды и проблема редукций”, ТМФ, 143:1 (2005), 33–48            ; I. T. Habibullin, “Truncations of Toda chains and the reduction problem”, Theoret. and Math. Phys., 143:1 (2005), 515–528    
37. Dima Grigoriev, Fritz Schwarz, Proceedings of the 2005 international symposium on Symbolic and algebraic computation, 2005, 163  
38. А. М. Гурьева, А. В. Жибер, “Инварианты Лапласа двумеризованных открытых цепочек Тоды”, ТМФ, 138:3 (2004), 401–421        ; A. M. Gurieva, A. V. Zhiber, “Laplace Invariants of Two-Dimensional Open Toda Lattices”, Theoret. and Math. Phys., 138:3 (2004), 338–355      
39. Grigoriev, D, “Factoring and solving linear partial differential equations”, Computing, 73:2 (2004), 179      
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41. Barkovsky, LA, “Factorization of integro-differential equations of the acoustics of dispersive viscoelastic anisotropic media and the tensor integral operators of wave packet velocities”, Acoustical Physics, 48:2 (2002), 128          
42. А. В. Жибер, В. В. Соколов, “Точно интегрируемые гиперболические уравнения лиувиллевского типа”, УМН, 56:1(337) (2001), 63–106          ; A. V. Zhiber, V. V. Sokolov, “Exactly integrable hyperbolic equations of Liouville type”, Russian Math. Surveys, 56:1 (2001), 61–101      
43. Barkovskii, LM, “Factorization of integro-differential equations of optics of dispersive anisotropic media and tensor integral operators of wave packet velocities”, Optics and Spectroscopy, 90:4 (2001), 561            
44. Barkovsky L., Furs A., “Factorization of the one-dimensional wave equations for dispersive media”, Optics of Crystals, Proceedings of the Society of Photo-Optical Instrumentation Engineers (SPIE), 4358, 2001, 142–147