687,707 research outputs found
A nonlinear transformation of the dispersive long wave equations in (2+1) dimensions and its applications
A nonlinear transformation of the dispersive long wave equations in (2+1)
dimensions is derived by using the homogeneous balance method. With the aid of
the transformation given here, exact solutions of the equations are obtained
Supercritical Nonlinear Schr\"odinger equations: Quasi-Periodic Solutions
We construct time quasi-periodic solutions to the energy supercritical
nonlinear Schr\"odinger equations on the torus in arbitrary dimensions. This
introduces a new approach, which could have general applicability.Comment: 62 pages; Duke Math. J. (to appear
About "On certain incomplete statistics" by Lima et al
Lima et al recently claim that ({\em Chaos, Solitons & Fractals,}
2004;19:1005)the entropy for the incomplete statistics based on the
normalization should be instead
of initially proposed by Wang. We indicate here that
thisconclusion is a result of erroneous use of temperature definition for the
incompletestatistics
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