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Dromion−like structures in a cubic−quintic nonlinear Schrödinger equation using analytical methods

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Abstract

We investigate the dromion-like excitations corresponding to intramolecular chain-like proteins. In the present work, the dromion-like excitations are described by using cubic-quintic nonlinear Schrödinger equation (CQNSE) governing the dynamics of proteins and we analytically analyze the velocity (v) of dromion-like structure compared with velocity (\(v_a\)) of acoustical sound waves corresponding to the longitudinal vibrations of protein molecules. Our work is motivated by the effectiveness and powerful mathematical techniques such as modified extended tanh function method and sine–cosine function method for solving CQNSE to obtain dromion-like structures.

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Acknowledgements

AM gratefully acknowledges the Theivanai Ammal College for Women (A), Villupuram, Tamilnadu, India, for providing the DST-FIST lab. The authors thank the editor of the Nonlinear Dynamics journal for providing very useful suggestions to improve our research paper.

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  1. Department of Physics, Theivanai Ammal College for Women (A), Villupuram, Tamilnadu, 605 602, India

    A. Muniyappan, A. Suruthi, B. Monisha & N. Sharon Leela

  2. Department of Physics, St. Joseph’s College (A), Tiruchirappalli, Tamilnadu, 620 002, India

    J. Vijaycharles

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  1. A. Muniyappan
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Muniyappan, A., Suruthi, A., Monisha, B. et al. Dromion−like structures in a cubic−quintic nonlinear Schrödinger equation using analytical methods. Nonlinear Dyn 104, 1533–1544 (2021). https://doi.org/10.1007/s11071-021-06350-1

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