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We are concerned with the Cauchy problem for the KdV equation on the whole line with an initial profile V0 which is decaying sufficiently fast at +¥ and arbitrarily enough (i.e., no decay or patte...
Line integration of generalized functions is studied. Second or-der partial differential equations with piecewise continuous and gen-eralized variable coefficients over Cayley-Dickson algebras are inv...
The classes of exact multi line soliton, periodic solutions and solutions with functional parameters, with constant asymptotic values at infinity u|_{xi^2+eta^2->infty}->-epsilon, for the hyperbolic a...

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