electronic journal of dierential equations vol 2010 2010 no 66 pp 1 10 issn 1072 6691 url http ejde math txstate edu or http ejde math unt edu ftp ejde ...
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...Electronic journal of dierential equations vol no pp issn url http ejde math txstate edu or unt ftp special solutions the riccati equation with applications to gross pitaevskii nonlinear pde anasalbastami milivojr belic nikolaz petrovic abstract a method for nding y p x q r is introduced provided that certain relations exist between coecient and above can be solved in closed form we determine required nd general aforementioned then applied arising solution multidimensional bose einstein condensates by f expansion balance principle techniques introduction thericcati re named after italian mathematician jacopo fran cesco basic rst order ordinary ode arises dierent elds mathematics physics it has which considered as lowest approximation deriv ative function terms itself assumed rare real functions argument well known are not available only cases treated even though similar second inhomogeneous linear odes one needs particular standard manner reduced schr odinger se quantum mechanics fact ...