A variety of powerful methods, such as the inverse scattering method [1, 13], bilinear transforma- tion [7], tanh-sech method [10, 11], extended tanh method [5, 10], homogeneous
Then it follows immediately from a suitable version of “Hensel’s Lemma” [cf., e.g., the argument of [4], Lemma 2.1] that S may be obtained, as the notation suggests, as the m A
To derive a weak formulation of (1.1)–(1.8), we first assume that the functions v, p, θ and c are a classical solution of our problem. 33]) and substitute the Neumann boundary
The proof uses a set up of Seiberg Witten theory that replaces generic metrics by the construction of a localised Euler class of an infinite dimensional bundle with a Fredholm
This paper presents an investigation into the mechanics of this specific problem and develops an analytical approach that accounts for the effects of geometrical and material data on
[Mag3] , Painlev´ e-type differential equations for the recurrence coefficients of semi- classical orthogonal polynomials, J. Zaslavsky , Asymptotic expansions of ratios of
Many families of function spaces play a central role in analysis, in particular, in signal processing e.g., wavelet or Gabor analysis.. Typical are L p spaces, Besov spaces,
This problem becomes more interesting in the case of a fractional differential equation where it closely resembles a boundary value problem, in the sense that the initial value