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Solitons on a Nonlinear Klein-Gordon Equation

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Future Directions of Nonlinear Dynamics in Physical and Biological Systems

Part of the book series: NATO ASI Series ((NSSB,volume 312))

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Abstract

The nonlinear Klein-Gordon equation under investigation is

$$ - {\Phi _{xx}} + {\text{ }}{\left( {f(\Phi ){\Phi _t}} \right)_t} + \Phi = 0 $$
(1)

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References

  1. AC. Scott, F.Y.F. Chu and D.W. McLaughlin, ‘The Soliton: A New Concept in Applied Science’, Proc. IEEE. 61: 1443 (1973).

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  2. M.J. Ablowitz, DJ. Kaup, A.C. Newell and H. Segur, ‘Nonlinear Evolution Equations of Physical Significance’, Phys. Rev. Lett. 31: 125 (1973).

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  3. G.L. Lamb, Elements of Soliton Theory. John Wiley and Sons, New York (1980).

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  4. R. Courant, W. Isaacson and M. Rees, ‘On the Solution of Nonlinear Hyperbolic Equations by Finite Differences’, Comm. Pure Appl. Math. 5: 243 (1952).

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Author information

Authors and Affiliations

  1. 33 Second Main Road, Vyalikaval, Bangalore, 560 003, India

    B. N. Prasanna

Authors
  1. B. N. Prasanna
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Editor information

Editors and Affiliations

  1. The Technical University of Denmark, Lyngby, Denmark

    P. L. Christiansen

  2. Heriot-Watt University, Edinburgh, UK

    J. C. Eilbeck

  3. University of Salerno, Baronissi, Italy

    R. D. Parmentier

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© 1993 Springer Science+Business Media New York

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Prasanna, B.N. (1993). Solitons on a Nonlinear Klein-Gordon Equation. In: Christiansen, P.L., Eilbeck, J.C., Parmentier, R.D. (eds) Future Directions of Nonlinear Dynamics in Physical and Biological Systems. NATO ASI Series, vol 312. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1609-9_13

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  • DOI: https://doi.org/10.1007/978-1-4899-1609-9_13

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-1611-2

  • Online ISBN: 978-1-4899-1609-9

  • eBook Packages: Springer Book Archive

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