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Periodic and rational solutions of variable-coefficient modified Korteweg–de Vries equation

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Abstract

With the aid of multivariate transformation technique, we obtain periodic and rational solutions for variable-coefficient modified Korteweg–de Vries (vc-mKdV) equation. The rational solutions can be obtained as limiting cases of periodic solutions in analogy with the rational solutions of nonlinear Schrödinger equation (NLSE). Further, the effect of variation of parameters on solutions is studied for physically relevant periodic form. Unlike the effect of variation of parameters on solutions of NLSE, where both amplitude and width can be controlled, only path or trajectory of solutions of vc-mKdV equation can be modulated.

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Authors and Affiliations

  1. Department of Physics, Panjab University, Chandigarh, 160014, India

    Ritu Pal, Harleen Kaur & C. N. Kumar

  2. Indian Institute of Science Education and Research (IISER) Tirupati, Tirupati, Andhra Pradesh, 517507, India

    Thokala Soloman Raju

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  1. Ritu Pal
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  2. Harleen Kaur
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  4. C. N. Kumar
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Correspondence to Thokala Soloman Raju.

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Pal, R., Kaur, H., Raju, T.S. et al. Periodic and rational solutions of variable-coefficient modified Korteweg–de Vries equation. Nonlinear Dyn 89, 617–622 (2017). https://doi.org/10.1007/s11071-017-3475-4

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  • DOI: https://doi.org/10.1007/s11071-017-3475-4

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