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New exact shape changing solitary solutions of a generalized Hirota equation with nonlinear inhomogeneities

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  • Kavitha, L.
  • Prabhu, A.
  • Gopi, D.

Abstract

The modified extended tanh-function method (METF) is employed to solve the generalized Hirota equation under the influence of a variety of nonlinear inhomogeneities. We obtain a series of exact solitary solutions and some of them exhibit shape changing property.

Suggested Citation

  • Kavitha, L. & Prabhu, A. & Gopi, D., 2009. "New exact shape changing solitary solutions of a generalized Hirota equation with nonlinear inhomogeneities," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2322-2329.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:4:p:2322-2329
    DOI: 10.1016/j.chaos.2009.03.127
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    References listed on IDEAS

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    1. Lakshmanan, M. & Ganesan, S., 1985. "Geometrical and gauge equivalence of the generalized Hirota, Heisenberg and Wkis equations with linear inhomogeneities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 132(1), pages 117-142.
    2. Wazwaz, Abdul-Majid, 2006. "Two reliable methods for solving variants of the KdV equation with compact and noncompact structures," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 454-462.
    3. Wazwaz, Abdul-Majid & Helal, M.A., 2005. "Nonlinear variants of the BBM equation with compact and noncompact physical structures," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 767-776.
    4. El-Wakil, S.A. & Abdou, M.A., 2007. "Modified extended tanh-function method for solving nonlinear partial differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 31(5), pages 1256-1264.
    5. Soliman, A.A., 2006. "The modified extended tanh-function method for solving Burgers-type equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 361(2), pages 394-404.
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    Cited by:

    1. Zdravković, Slobodan & Kavitha, Louis & Satarić, Miljko V. & Zeković, Slobodan & Petrović, Jovana, 2012. "Modified extended tanh-function method and nonlinear dynamics of microtubules," Chaos, Solitons & Fractals, Elsevier, vol. 45(11), pages 1378-1386.
    2. Suganya, S. & Srividya, B. & Prabhu, A., 2024. "Existence of localized modes in a frustrated ferromagnetic spin chain with added biquadratic interaction," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).

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