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Existence of solitary solutions in systems of PDEs with multiplicative polynomial coupling

Author

Listed:
  • Telksnys, T.
  • Navickas, Z.
  • Marcinkevicius, R.
  • Ragulskis, M.

Abstract

Necessary conditions for the existence of solitary solutions to systems of nonlinear partial differential equations with multiplicative polynomial coupling are derived in this paper. The inverse balancing technique is used to explicitly determine necessary existence conditions in terms of orders of the system and the nonlinearity. As the orders of the system increase, the order of solitary solutions does not increase monotonically. A computational framework for the derivation of additional constraints on the parameters of higher-order solitary solutions is presented.

Suggested Citation

  • Telksnys, T. & Navickas, Z. & Marcinkevicius, R. & Ragulskis, M., 2018. "Existence of solitary solutions in systems of PDEs with multiplicative polynomial coupling," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 380-388.
    • Handle: RePEc:eee:apmaco:v:320:y:2018:i:c:p:380-388
    DOI: 10.1016/j.amc.2017.09.051
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    References listed on IDEAS

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    1. 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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