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Solitons /

This book provides an up-to-date overview of mathematical theories and research results on solitons, presenting related mathematical methods and applications as well as numerical experiments. Different types of soliton equations are covered along with their dynamical behaviors and applications from...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Guo, Boling (Autor), Pang, Xiao-Feng, 1945- (Autor), Wang, Yu-Feng (Physics professor) (Autor), Liu, Nan (Physics professor) (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin ; Boston : Walter de Gruyter GmbH, [2018]
Temas:
Acceso en línea:Texto completo
Descripción
Sumario:This book provides an up-to-date overview of mathematical theories and research results on solitons, presenting related mathematical methods and applications as well as numerical experiments. Different types of soliton equations are covered along with their dynamical behaviors and applications from physics, making the book an essential reference for researchers and graduate students in applied mathematics and physics. ContentsIntroductionInverse scattering transformAsymptotic behavior to initial value problems for some integrable evolution nonlinear equationsInteraction of solitons and its asymptotic propertiesHirota methodBäcklund transformations and the infinitely many conservation lawsMulti-dimensional solitons and their stabilityNumerical computation methods for some nonlinear evolution equationsThe geometric theory of solitonsGlobal existence and blow up for the nonlinear evolution equationsThe soliton movements of elementary particles in nonlinear quantum fieldThe theory of soliton movement of superconductive featuresThe soliton movements in condensed state systemsontents.
Descripción Física:1 online resource (viii, 368 pages)
Bibliografía:Includes bibliographical references.
ISBN:9783110549416
3110549417
9783110549638
3110549638