This e-book offers advancements within the geometric method of nonlinear partial differential equations (PDEs). The expositions talk about the most positive aspects of the strategy, and the speculation of symmetries and the conservation legislation in response to it. The ebook combines rigorous arithmetic with concrete examples. Nontraditional issues, comparable to the speculation of nonlocal symmetries and cohomological concept of conservation legislation, also are incorporated. the quantity is basically self-contained and contains particular motivations, broad examples and routines, and cautious proofs of all effects. Readers attracted to studying the fundamentals of purposes of symmetry how to differential equations of mathematical physics will locate the textual content necessary. specialists also will locate it precious because it gathers many effects formerly purely to be had in journals.
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