RelativisticJ-matrix method of scattering in 1 + 1 space-time I. Theory*

0 i 1 LINEAR SCALE - SPACE I : BASIC THEORY 1

Linear Scale - Space I : Basic Theory 1

Semi-classical determination of exponentially small intermode transitions for 1+1 space-time scattering systems

We consider the semiclassical limit of systems of autonomous PDE’s in 1+1 space-time dimensions in a scattering regime. We assume the matrix valued coefficients are analytic in the space variable and we further suppose that the corresponding dispersion relation admits real-valued modes only with one-dimensional polarization subspaces. Hence a BKW-type analysis of the solutions is possible. We t...

Group ${1, -1, i, -i}$ Cordial Labeling of sum of $C_n$ and $K_m$ for some $m$

Let G be a (p,q) graph and A be a group. We denote the order of an element $a in A $ by $o(a).$  Let $ f:V(G)rightarrow A$ be a function. For each edge $uv$ assign the label 1 if $(o(f(u)),o(f(v)))=1 $or $0$ otherwise. $f$ is called a group A Cordial labeling if $|v_f(a)-v_f(b)| leq 1$ and $|e_f(0)- e_f(1)|leq 1$, where $v_f(x)$ and $e_f(n)$ respectively denote the number of vertices labelled w...

Solution to time fractional generalized KdV of order 2q+1 and system of space fractional PDEs

Abstract. In this work, it has been shown that the combined use of exponential operators and integral transforms provides a powerful tool to solve time fractional generalized KdV of order 2q+1 and certain fractional PDEs. It is shown that exponential operators are an effective method for solving certain fractional linear equations with non-constant coefficients. It may be concluded that the com...