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10.1098/rspa.2014.0364 http://scihub22266oqcxt.onion/10.1098/rspa.2014.0364 C4241009!4241009!25484604     free     free     free Deprecated: Implicit conversion from float 209.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534       Proc+Math+Phys+Eng+Sci 2014 ; 470 (2172): ä Nephropedia Template TP {{tp|p=25484604|t=2014. Numerical study of fractional nonlinear Schrödinger equations |pdf=|usr=}}{{25484604}} gab.com Text Numerical study of fractional nonlinear Schrödinger equations JO: Proc Math Phys Eng Sci http://www.kidney.de/pget.php?&tw=1&pmid=25484604 #FOAvip Using a Fourier spectral method, we provide a detailed numerical investigation of dispersive Schrödinger-type equations involving a fractional Laplacian in an one-dimensional case. By an appropriate choice of the dispersive exponent, both mass and energy sub- and supercritical regimes can be identified. This allows us to study the possibility of finite time blow-up versus global existence, the nature of the blow-up, the stability and instability of nonlinear ground states and the long-time dynamics of solutions. The latter is also studied in a semiclassical setting. Moreover, we numerically construct ground state solutions of the fractional nonlinear Schrödinger equation. Twit Text FOAVip Numerical study of fractional nonlinear Schrödinger equations ????Proc Math Phys Eng Sci http://www.kidney.de/pget.php?&tw=1&pmid=25484604 #FOAvip Twit Text # Free Paper on # # # # # LINK http://www.kidney.de/pget.php?&tw=1&pmid=25484604 #FOAvip English Wikipedia <ref>{{Cite pmid|25484604}}</ref> Numerical study of fractional nonlinear Schrödinger equations #MMPMID25484604 Klein C; Sparber C; Markowich P Proc Math Phys Eng Sci 2014[Dec]; 470 (2172): ä PMID25484604show ga Using a Fourier spectral method, we provide a detailed numerical investigation of dispersive Schrödinger-type equations involving a fractional Laplacian in an one-dimensional case. By an appropriate choice of the dispersive exponent, both mass and energy sub- and supercritical regimes can be identified. This allows us to study the possibility of finite time blow-up versus global existence, the nature of the blow-up, the stability and instability of nonlinear ground states and the long-time dynamics of solutions. The latter is also studied in a semiclassical setting. Moreover, we numerically construct ground state solutions of the fractional nonlinear Schrödinger equation. äNumerical study of fractional nonlinear Schrödinger equations (epmc).pdf DeepDyve Pubget Overpricing