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Exact solutions of one pattern formation model

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  • Kudryashov, Nikolay A.
  • Ryabov, Pavel N.

Abstract

The nonlinear evolution equation for describing the pattern formation processes on the semiconductor surfaces under ion beam bombardment is studied. The Painlevé analysis of equation is considered. The new elliptic solution of this equation is obtained.

Suggested Citation

  • Kudryashov, Nikolay A. & Ryabov, Pavel N., 2014. "Exact solutions of one pattern formation model," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 1090-1093.
    • Handle: RePEc:eee:apmaco:v:232:y:2014:i:c:p:1090-1093
    DOI: 10.1016/j.amc.2014.01.080
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    References listed on IDEAS

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    1. Kudryashov, Nikolai A., 2005. "Simplest equation method to look for exact solutions of nonlinear differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 24(5), pages 1217-1231.
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    Cited by:

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    2. Navickas, Z. & Ragulskis, M. & Telksnys, T., 2016. "Existence of solitary solutions in a class of nonlinear differential equations with polynomial nonlinearity," Applied Mathematics and Computation, Elsevier, vol. 283(C), pages 333-338.

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