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Partial Differential Equations, Systems of Partial Differential Equations

• First-Order Partial Differential Equations
• Linear Partial Differential Equations of Mathematical Physics
• Nonlinear Partial Differential Equations of Mathematical Physics
• Systems of Partial Differential Equations

Basic handbooks:

• E. Kamke, Differentialgleichungen: Losungsmethoden und Losungen, II, Partielle Differentialgleichungen Erster Ordnung fur eine gesuchte Funktion, Akad. Verlagsgesellschaft Geest & Portig, Leipzig, 1965.
• A. D. Polyanin, V. F. Zaitsev, and A. Moussiaux, Handbook of First Order Partial Differential Equations, Taylor & Francis, London, 2002.
• A. D. Polyanin, Handbook of Linear Partial Differential Equations for Engineers and Scientists, Chapman & Hall/CRC Press, Boca Raton, 2002.
• A. D. Polyanin and V. F. Zaitsev, Handbook of Nonlinear Partial Differential Equations, Chapman & Hall/CRC Press, Boca Raton, 2004.
• A. D. Polyanin and A. V. Manzhirov, Handbook of Mathematics for Engineers and Scientists (Chapters 13–15, T7–T10), Chapman & Hall/CRC Press, Boca Raton–London, 2006.
• N. Ibragimov (Editor), CRC Handbook of Lie Group to Differential Equations, Vols. 1, 2, 3, CRC Press, Boca Raton, 1994-1996.
• D. Zwillinger, Handbook of Differential Equations, Academic Press, Boston, 1997 (3rd edition).