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Applications of the Resonanat nonlinear Schrödinger equation with self steeping phenomena for chirped periodic waves

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Abstract

In this paper, we investigate resonanat nonlinear Schrödinger equation (RNLSE) with self steeping phenomena to obtain some chirped periodic (CP) and soliton waves. A chirp is a signal in which the frequency increases (up chirp) or decreases (down-chirp) with time. It is commonly used in sonar, radar and laser systems and in other applications, such as in spread-spectrum communications. We obtain chirped periodic waves (CPW) with some Jacobi elliptic functions (JEF). We also obtain some solitary waves (SW) like dark, bright, singular waves of type I and II, hyperbolic, periodic and other solutions. The dynamical behaviour for these waves will also be presented.

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Authors and Affiliations

  1. Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Islamabad, Pakistan

    U. Akram, S. T. R. Rizvi & B. Mustafa

  2. Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia

    Aly R. Seadawy

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  1. U. Akram
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  2. Aly R. Seadawy
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  3. S. T. R. Rizvi
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  4. B. Mustafa
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Correspondence to Aly R. Seadawy.

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Akram, U., Seadawy, A.R., Rizvi, S.T.R. et al. Applications of the Resonanat nonlinear Schrödinger equation with self steeping phenomena for chirped periodic waves. Opt Quant Electron 54, 256 (2022). https://doi.org/10.1007/s11082-022-03525-x

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