Darboux transformation is constructed for superfields of the super sine-Gordon equation and the superfields of the associated linear problem. The Darboux transformation is shown to be related to the super Bäcklund transformation and is further used to obtain N super soliton solutions. PACS: 02.30.Ik PACS: 12.60.Jv mohsin [email protected] On study leave from PRD (PINSTECH) Islamabad, Pakistan mhassa...

to investigate effects of different super absorbent polymer and animal manure ratios on the quantitative and qualitative characteristics of soybean under drought stress, a split plots experiment was conducted based on randomized complete block design with three replications in marvdasht, iran in 2009. main factor included of irrigation with 50, 100 and 150 mm evaporation from pan class a and su...

The paper derives many existing risk measures and premium principles by minimizing a Markov bound for the tail probability. Our approach involves two exogenous functions v(S) and (S,p) and another exogenous parameter ≤ 1. Minimizing a general Markov bound leads to the following unifying equation: , . z S v S E E p = ^ ] h g 8 6 B @ For any random variable, the risk measure p is the solution to ...

Two sets of super Riccati equations are presented which result in two linear problems of super sine-Gordon equation. The linear problems are then shown to be related to each other by a super gauge transformation and to the super Bäcklund transformation of the equation. PACS: 02.30.Ik PACS: 12.60.Jv On leave of absence from PRD, PINSTECH, Nilore Islamabad (Pakistan).

We demonstrate the feasibility of strong (up to atomic fields) and super-short (fewor even sub-femtosecond) sub-cycle (non-oscillating) electromagnetic solitons -EM bubbles (EMBs) in a gas of two-level atoms, as well as EMBs and pre-ionization shock waves in classically nonlinear atoms. We show that EMBs can be generated by existing sources of radiation, including sub-picosecond half-cycle puls...

If K is a field with discrete valuation ν and D = {a ∈ K : ν(a) ≥ 0}, then an algebra D[x] ⊆ A ⊆ K[x] has associated to it a sequence of fractional ideals {In : n = 0, 1, 2, . . . } with In consisting of 0 and the leading coefficients of elements of A of degree no more than n and a sequence of integers {a(n) : n = 0, 1, 2, . . . } with a(n) = −ν(In). Combinatorial properties of this integer seq...

We demonstrate the feasibility of strong (up to atomic fields) and super-short (fewor even sub-femtosecond) sub-cycle (non-oscillating) electromagnetic solitons -EM bubbles (EMBs) in a gas of two-level atoms, as well as EMBs and pre-ionization shock waves in classically nonlinear atoms. We show that EMBs can be generated by existing sources of radiation, including sub-picosecond half-cycle puls...

Large super-elasticity approaching its theoretically expected value was achieved in Ti-13.3Nb-4.6Mo alloy having an ultrafine-grained ?-phase. In-situ synchrotron radiation X-ray diffraction analysis revealed that the dominant yielding mechanism changed from dislocation slip to martensitic transformation by decreasing ?-grain size down sub-micrometer. Different grain dependence of critical stre...