Bøker av Nan Liu

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 methodBacklund 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

Puppets true power exists in the simple resource model it uses to manage the state of complex operating systems. This concise guide shows you how to extend that model and implement custom functionality on top of Puppet by working with the type and provider APIs.Two experts from Puppet Labs explain the concepts behind these APIs, and provide instructions and examples to help you write your own fully functional types and providers. Youll also delve into Puppets source code to get a better understanding of how types and providers are implemented internally. If youre familiar with basic Puppet concepts, youre ready to get started.Learn the fundamental concepts behind resources, and become familiar with the structure of Puppets Resource ModelDiscover how the type API is used to create new resource types that Puppet can manageUnderstand how providers interact with the system to achieve the desired state of a declared resourceExplore advanced features to get a more complete understanding of how Puppet worksSimplify the troubleshooting process when developing types and providers