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Compacton-like solutions for modified KdV and nonlinear Schrödinger equation with external sources

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Abstract

We present new types of compacton-like solutions for modified KdV and nonlinear Schrödinger equation with external sources, using a recently developed fractional transformation. In particular, we explicate these novel compactons for the trigonometric case, and compare their properties with those of the compactons and solitons in the case of modified KdV equation. Keeping in mind the significance of nonlinear Schrödinger equation with external source, for pulse propagation through asymmetric twin-core fibres, we hope that the newly found compacton may be launched in a long-haul telecommunication network utilizing asymmetric twin-core fibres.

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Authors and Affiliations

  1. Department of Physics, Karunya University, Coimbatore, 641 114, India

    THOKALA SOLOMAN RAJU

  2. Department of Physics, Panjab University, Chandigarh, 160 014, India

    C NAGARAJA KUMAR

  3. Indian Institute of Science Education and Research-Kolkata, Mohanpur, Nadia, 741 252, India

    PRASANTA K PANIGRAHI

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  1. THOKALA SOLOMAN RAJU
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  2. C NAGARAJA KUMAR
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  3. PRASANTA K PANIGRAHI
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Correspondence to C NAGARAJA KUMAR.

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RAJU, T.S., KUMAR, C.N. & PANIGRAHI, P.K. Compacton-like solutions for modified KdV and nonlinear Schrödinger equation with external sources. Pramana - J Phys 83, 273–277 (2014). https://doi.org/10.1007/s12043-014-0795-5

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  • DOI: https://doi.org/10.1007/s12043-014-0795-5

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