ISBN: 9781402061387

Theemergenceofanewparadigminscienceo?ersvastperspectivesfor future investigations, as well as providing fresh insight into existing areas of kno- edge, discovering hitherto unknown relati… Meer...

Theemergenceofanewparadigminscienceo?ersvastperspectivesfor future investigations, as well as providing fresh insight into existing areas of kno- edge, discovering hitherto unknown relations between them. We can observe this kind of process in connection with the appearance of the concept of so- tons [465]. Understandingthefactthatnonlinearmodesareasfundamentalas linear ones, with the advent of a rigorousformalism making it possible to ?nd exact solutions of a wide class of physically important nonlinear equations, gave rise to “a revolution that has quietly transformed the realm of science over the past quarter century” [392]. The inverse spectral (or scattering) transform (IST) method serves as the mathematical background for the soliton theory. The development of the IST formalism a?ects many ?elds of mathematics, revealing on frequent - casions unexpected links between them. For example, the theory of surfaces 3 in R can be considered as a chapter of the theory of solitons [468]. The modern version of IST is based on the dressing method proposed by - kharov and Shabat, ?rst in terms of the factorization of integral operators on a line into a product of two Volterra integral operators [474] and then using the Riemann–Hilbert (RH) problem [475]. The most powerful version ¯ ¯ of the dressing method incorporates the ? problem formalism. The ? pr- lem was put forward by Beals and Coifman [39, 40] as a generalization of the RH problem and was applied to the study of ?rst-order one-dimensional spectral problems. New Textbooks>Hardcover>Science>Mathematics>Mathematics, Springer Netherlands Core >2 >T<

ISBN: 9781402061387

Hardback, [PU: Springer-Verlag New York Inc.], This monograph systematically develops and considers the so-called "dressing method" for solving differential equations (both linear and non… Meer...

Hardback, [PU: Springer-Verlag New York Inc.], This monograph systematically develops and considers the so-called "dressing method" for solving differential equations (both linear and nonlinear), a means to generate new non-trivial solutions for a given equation from the (perhaps trivial) solution of the same or related equation., Algebra, Calculus & Mathematical Analysis, Complex Analysis, Complex Variables, Functional Analysis & Transforms, Applied Mathematics, Physics, Light (optics), Electricity, Electromagnetism & Magnetism, Mathematical Physics, Engineering: General, Maths For Engineers<

2007, ISBN: 1402061382

2007 Gebundene Ausgabe Physik / Mathematik, Algebra, Angewandte Mathematik, Elektrizität, Magnetismus und Elektromagnetismus, Mathematische Physik, Mathematik für Ingenieure, Potential;… Meer...

2007 Gebundene Ausgabe Physik / Mathematik, Algebra, Angewandte Mathematik, Elektrizität, Magnetismus und Elektromagnetismus, Mathematische Physik, Mathematik für Ingenieure, Potential; Schrödingerequation; Soliton; Transformation; Algebra; mathematicalphysics; operator; waveequation, mit Schutzumschlag 11, [PU:Springer Netherlands; Springer Netherland]<

ISBN: 9781402061387

Hardback, [PU: Springer-Verlag New York Inc.], This monograph systematically develops and considers the so-called "dressing method" for solving differential equations (both linear and non… Meer...

Hardback, [PU: Springer-Verlag New York Inc.], This monograph systematically develops and considers the so-called "dressing method" for solving differential equations (both linear and nonlinear), a means to generate new non-trivial solutions for a given equation from the (perhaps trivial) solution of the same or related equation., Light (optics)<

2007, ISBN: 9781402061387

*A Dressing Method in Mathematical Physics* - Auflage 2007 / gebundene Ausgabe für 106.99 € / Aus dem Bereich: Bücher, Wissenschaft, Physik Medien > Bücher nein Buch (gebunden) Hardcover;… Meer...

*A Dressing Method in Mathematical Physics* - Auflage 2007 / gebundene Ausgabe für 106.99 € / Aus dem Bereich: Bücher, Wissenschaft, Physik Medien > Bücher nein Buch (gebunden) Hardcover;Naturwissenschaften, Medizin, Informatik, Technik;Elektrizität, Magnetismus, Optik, Springer Netherlands<