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Non-linear partial differential equations
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ISBN: 9780444887009 0444887008 9780080872759 0080872751 1281789291 9781281789297 9786611789299 6611789294 Year: 1990 Publisher: Amsterdam New York New York, N.Y., U.S.A. North-Holland Distributors for the United States and Canada, Elsevier Science Pub. Co.

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Abstract

A massive transition of interest from solving linear partial differential equations to solving nonlinear ones has taken place during the last two or three decades. The availability of better computers has often made numerical experimentations progress faster than the theoretical understanding of nonlinear partial differential equations. The three most important nonlinear phenomena observed so far both experimentally and numerically, and studied theoretically in connection with such equations have been the solitons, shock waves and turbulence or chaotical processes. In many ways, these phenomen

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