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We define a new grading, that we call the "level grading", on the algebra of polynomials generated by the derivatives $u_{k+i}=\partial^{k+i}u/\partial x^{k+i}$ over the ring $K^{(k)}$ of $C^{\infty}$...
A new type of traveling interface modulations has been observed in the NH$_3$ + O$_2$ reaction on a Rh(110) surface. A model is set up which reproduces the effect, which is attributed to diffusional m...
We first derive an integrable deformed hierarchy of short pulse equation and their Lax representation. Then we concentrated on the solution of integrable deformed short pulse equation (IDSPE).
We give a representation of the solution for a stochastic linear equation of the form Xt = Yt + R(0,t]Xs− dZs where Z is a c`adl`ag semimartingale and Y is a c`adl`ag adapted process with bounde...
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...
In this paper, a new step-size skill for a projection and contraction method$^{[10]}$ for linear programming is generalized to an iterative method$^{[22]}$ for solving nonlinear projection equation....

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