17 research outputs found

    Intensity limits for stationary and interacting multi-soliton complexes

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    We obtain an accurate estimate for the peak intensities of multi-soliton complexes for a Kerr-type nonlinearity in the (1+1) - dimension problem. Using exact analytical solutions of the integrable set of nonlinear Schrodinger equations, we establish a rigorous relationship between the eigenvalues of incoherently-coupled fundamental solitons and the range of admissible intensities. A clear geometrical interpretation of this effect is given.Comment: 3 pages, 3 figure

    Spin Content of the Quantum Soliton

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    The classical soliton solution, quantized by means of suitable translational and rotational collective coordinates, is embedded into the one-particle irreductible representation of the Poincare group corresponding to a definite spin. It is shown, that within the conventional quasiclassical expansion such embedding leads to a set of nontrivial consistency conditions imposed on the classical solution. The validity of these relations is considered for a number of soliton models in 2+1- and 3+1-dimensions.Comment: 10 pages, Standard LaTe

    Exact soliton solutions, shape changing collisions and partially coherent solitons in coupled nonlinear Schroedinger equations

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    We present the exact bright one-soliton and two-soliton solutions of the integrable three coupled nonlinear Schroedinger equations (3-CNLS) by using the Hirota method, and then obtain them for the general NN-coupled nonlinear Schroedinger equations (N-CNLS). It is pointed out that the underlying solitons undergo inelastic (shape changing) collisions due to intensity redistribution among the modes. We also analyse the various possibilities and conditions for such collisions to occur. Further, we report the significant fact that the various partial coherent solitons (PCS) discussed in the literature are special cases of the higher order bright soliton solutions of the N-CNLS equations.Comment: 4 pages, RevTex, 1 EPS figure To appear in Physical Review Letter

    Effect of destabilisation of austenite on special features of the reversed alpha->gamma transition

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    Translated from Russian (Termicheskaya Obrabotka, Struktura i Svoistva Metallov 1986 (11) p. 81-86)Available from British Library Document Supply Centre- DSC:9023.19(VR-Trans--3491)T / BLDSC - British Library Document Supply CentreSIGLEGBUnited Kingdo

    Limitations of effective accelerating fields in ring accelerators

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    Hardening of wires of metastable austenitic steels in thermochemical treatment

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    15.00; Translated from Russian (Term. Obrab. Fiz. Met. 1984 (9) p. 46-50)SIGLEAvailable from British Library Document Supply Centre- DSC:9023.19(VR--3343)T / BLDSC - British Library Document Supply CentreGBUnited Kingdo

    Magnetometric recording of cooling martensite during aging of deformed staple austenitic steels

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    Translated from Russian (Izv. Vyssh. Uchebn. Zaved., Chern. Metall. 1986 (12) p. 146-147)SIGLEAvailable from British Library Document Supply Centre- DSC:5828.4(M--37274)T / BLDSC - British Library Document Supply CentreGBUnited Kingdo
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