{"product_id":"the-painlevzs-handbook-robert-conte-9783030533427","title":"The Painlevé Handbook","description":"\u003cp\u003eThis book, now in its second edition, introduces the singularity analysis of differential and difference equations via the Painlevé test and shows how Painlevé analysis provides a powerful algorithmic approach to building explicit solutions to nonlinear ordinary and partial differential equations. It is illustrated with integrable equations such as the nonlinear Schrödinger equation, the Korteweg-de Vries equation, Hénon-Heiles type Hamiltonians, and numerous physically relevant examples such as the Kuramoto-Sivashinsky equation, the Kolmogorov-Petrovski-Piskunov equation, and mainly the cubic and quintic Ginzburg-Landau equations.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eExtensively revised, updated, and expanded, this new edition includes: recent insights from Nevanlinna theory and analysis on both the cubic and quintic Ginzburg-Landau equations; a close look at physical problems involving the sixth Painlevé function; and an overview of new results since the book's original publication with special focus on finite difference equations. The book features tutorials, appendices, and comprehensive references, and will appeal to graduate students and researchers in both mathematics and the physical sciences.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Robert Conte,Micheline Musette\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3030533425\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783030533427\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 11\/08\/2021\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 389\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.30lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.86d","brand":"Robert Conte","offers":[{"title":"Paperback","offer_id":48996261822719,"sku":"9783030533427","price":179.99,"currency_code":"USD","in_stock":true}],"url":"https:\/\/www.whiterainbookhouse.com\/products\/the-painlevzs-handbook-robert-conte-9783030533427","provider":"WR Book House","version":"1.0","type":"link"}