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Exact and numerical solutions of coupled short pulse equation with time-dependent coefficients

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Abstract

Using the Lie symmetry approach, the authors have examined exact and numerical solutions of coupled short pulse equation with time-dependent coefficients. The method reduces the system of partial differential equations to a system of ordinary differential equations according to the Lie symmetry admitted. In particular, we found the relevant system of ordinary differential equations for all optimal subgroups. The system of ordinary differential equations is further studied in general to obtain exact and numerical solutions. Several new physically important families of exact and numerical solutions are derived.

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Acknowledgments

We are very grateful to editors and reviewers for their careful work on the manuscript and their constructive comments.

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Authors and Affiliations

  1. School of Mathematics and Computer Applications, Thapar University, Patiala, 147004, Punjab, India

    R. K. Gupta

  2. Department of Mathematics, D.A.V. College Pundari, Kaithal, 136026, Haryana, India

    Vikas Kumar

  3. Department of Mathematics, Indian Institute of Technology, Roorkee, Roorkee, 247667, India

    Ram Jiwari

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  1. R. K. Gupta
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  2. Vikas Kumar
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  3. Ram Jiwari
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Correspondence to Vikas Kumar.

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Gupta, R.K., Kumar, V. & Jiwari, R. Exact and numerical solutions of coupled short pulse equation with time-dependent coefficients. Nonlinear Dyn 79, 455–464 (2015). https://doi.org/10.1007/s11071-014-1678-5

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