1,721,006 research outputs found
Spectral transform and nonlinear evolution equations
No full textSpringer Lecture Notes in Physics 85, edited by Sabatier P. C
Elementary Baecklund transformations, nonlinear superposition formulae and algebraic construction of solutions for the nonlinear evolution equations solvable by the Zakharov-Shabat spectral trasform
No full textNovel solution of the integrable system describing the resonant interaction of three waves
No full textAsymptotic Integrability
No full textWe describe a test for Asymptotic integrability and apply it to a class of dispersive PDEs. We identify a new equation which is integrable up to order two
Spectralne Preobrazovanya i Solitoni: Metodi Reshenya i Isledovanya Nielineinikh Evolutionnikh Uravnenya
No full textRussian version of the Monograph entitled "Spectral Transform and Solitons: Tools to Solve and Investigate Nonlinear Evolution Equations", North Holland, Amsterdam, 198
Nonlinear evolution equations solvable by the inverse spectral transform associated to the matrix Schroedinger equation
No full textTopics in Current Physics 1
Rogue waves of the vector nonlinear Schrödinger equations
No full textExtreme wave events, also referred to as freak or rogue waves, are mostly known as oceanic phenomena responsible for a large number of maritime disasters. These waves, which have height and steepness much greater than expected from the sea average state [1], have recently become a topic of intense research. Rogue waves appear both in deep ocean and in shallow water [2]. Research on rogue waves is in an emerging state [1,3]. These waves not only appear in oceans but also in the atmosphere, in optics, in plasmas, in superfluids, in Bose-Einstein condensates and also as capillary waves. The common features and differences among freak wave manifestations in their different contexts is a subject of intense discussion [2]
- …
