- Local well-posedness of the KdV equation with quasi periodic initial data
2011/09/30 by Kotaro Tsugawa, Tsugawa, Kotaro · 1 citation
Mathematics · Physics and Astronomy · #35B15 #35B65 #35Q53 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Diophantine equation #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Fourier transform #Function (biology) #Initial value problem #Korteweg–de Vries equation #Mathematical analysis #Mathematics #Nonlinear system #Norm (philosophy) #Order (exchange) #Periodic function #Physics #Pure mathematics #Sobolev space #Space (punctuation) #math.AP #msc:35B15 #msc:35B65 #msc:35Q53 #nlin.SI
- Solitons supported by localized nonlinearities in periodic media
2011/03/08 by Nir Dror, Boris A. Malomed · 3 citations
Mathematics · Physics and Astronomy · #Advanced Fiber Laser Technologies #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Dirac delta function #Function (biology) #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Photonic Systems #Nonlinear system #Periodic function #Periodic potential #Physics #Quantum mechanics #Sign (mathematics) #Stability (learning theory) #cond-mat.quant-gas #nlin.PS #physics.optics