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Exact Solutions of the Generalized Equal Width Wave Equation

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Computational Science and Its Applications — ICCSA 2003 (ICCSA 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2668))

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Abstract

The equal width wave (EW) equation is a model partial differential equation for the simulation of one-dimensional wave propagation in nonlinear media with dispersion processes. The EW-Burgers equation models the propagation of nonlinear and dispersive waves with certain dissipative effects. In this work, we derive exact solitary wave solutions for the general form of the EW equation and the generalized EW-Burgers equation with nonlinear terms of any order. We also derive analytical expressions of three invariants of motion for solitary wave solutions of the generalized EW equation.

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References

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Author information

Authors and Affiliations

  1. Department of Computer Science, University of Toronto, 10 King’s College Road, Toronto, Canada, M5S 3G4

    S. Hamdi & W. H. Enright

  2. Mathematics and Engineering, Lehigh University, Bethlehem, PA, 18015, USA

    W. E. Schiesser

  3. Institute for Aerospace Studies, University of Toronto, 4925 Dufferin Street, Toronto, Canada, M3H 5T6

    J. J. Gottlieb

Authors
  1. S. Hamdi
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  2. W. H. Enright
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  3. W. E. Schiesser
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  4. J. J. Gottlieb
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Editor information

Editors and Affiliations

  1. Army High Performance Computing Research Center, USA

    Vipin Kumar

  2. Department of Computer Science and Engineering, University of Minessota, MN, 55455, USA

    Vipin Kumar

  3. Department of Computer Science, University of Calgary, Calgary, AB, T2N1N4, Canada

    Marina L. Gavrilova

  4. Heuchera Technologies Inc., 122 9251-8 Yonge Street, Richmond Hill, ON, Canada, L4C 9T3

    Chih Jeng Kenneth Tan

  5. School of Computer Science, The Queen’s University of Belfast, Belfast, BT7 1NN, Northern Ireland, UK

    Chih Jeng Kenneth Tan

  6. Département d’informatique et de recherche opérationelle, Université de Montréal, Montréal, Québec, H3C 3J7, Canada

    Pierre L’Ecuyer

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© 2003 Springer-Verlag Berlin Heidelberg

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Hamdi, S., Enright, W.H., Schiesser, W.E., Gottlieb, J.J. (2003). Exact Solutions of the Generalized Equal Width Wave Equation. In: Kumar, V., Gavrilova, M.L., Tan, C.J.K., L’Ecuyer, P. (eds) Computational Science and Its Applications — ICCSA 2003. ICCSA 2003. Lecture Notes in Computer Science, vol 2668. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44843-8_79

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  • DOI: https://doi.org/10.1007/3-540-44843-8_79

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40161-2

  • Online ISBN: 978-3-540-44843-3

  • eBook Packages: Springer Book Archive

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