Antonio Maria Greco – författare
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3 produkter
3 produkter
Direct and Inverse Methods in Nonlinear Evolution Equations
Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, September 5–12, 1999
Inbunden, Engelska, 2003
1 066 kr
Skickas inom 10-15 vardagar
Many physical phenomena are described by nonlinear evolution equation. Those that are integrable provide various mathematical methods, presented by experts in this tutorial book, to find special analytic solutions to both integrable and partially integrable equations. The direct method to build solutions includes the analysis of singularities a la Painleve, Lie symmetries leaving the equation invariant, extension of the Hirota method, construction of the nonlinear superposition formula. The main inverse method described here relies on the bi-hamiltonian structure of integrable equations. The book also presents some extension to equations with discrete independent and dependent variables.The different chapters face from different points of view the theory of exact solutions and of the complete integrability of nonlinear evolution equations. Several examples and applications to concrete problems allow the reader to experience directly the power of the different machineries involved.
Direct and Inverse Methods in Nonlinear Evolution Equations
Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, September 5–12, 1999
Häftad, Engelska, 2010
1 066 kr
Skickas inom 10-15 vardagar
Many physical phenomena are described by nonlinear evolution equation. Those that are integrable provide various mathematical methods, presented by experts in this tutorial book, to find special analytic solutions to both integrable and partially integrable equations. The direct method to build solutions includes the analysis of singularities a la Painleve, Lie symmetries leaving the equation invariant, extension of the Hirota method, construction of the nonlinear superposition formula. The main inverse method described here relies on the bi-hamiltonian structure of integrable equations. The book also presents some extension to equations with discrete independent and dependent variables.The different chapters face from different points of view the theory of exact solutions and of the complete integrability of nonlinear evolution equations. Several examples and applications to concrete problems allow the reader to experience directly the power of the different machineries involved.
Waves And Stability In Continuous Media - Proceedings Of The 15th Conference On Wascom 2009
Inbunden, Engelska, 2010
1 853 kr
Tillfälligt slut
This book contains recent contributions in the field of waves propagation and stability in continuous media. The volume is the sixth in a series published by World Scientific since 1999.