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The first integral method to study the (2+1)-dimensional Jaulent–Miodek equations

Abstract

In this paper, we have presented the applicability of the first integral method for constructing exact solutions of (2+1)-dimensional Jaulent–Miodek equations. The first integral method is a powerful and effective method for solving nonlinear partial differential equations which can be applied to nonintegrable as well as integrable equations. The present paper confirms the significant features of the method employed and exact kink and soliton solutions are constructed through the established first integrals.

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Acknowledgement

The authors are grateful to the anonymous referee for the careful checking of the details and for helpful comments that improved this paper.

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MATINFAR, M., ESLAMI, M. & ROSHANDEL, S. The first integral method to study the (2+1)-dimensional Jaulent–Miodek equations. Pramana - J Phys 85, 593–603 (2015). https://doi.org/10.1007/s12043-014-0916-1

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  • DOI: https://doi.org/10.1007/s12043-014-0916-1

Keywords

  • (2+1)-dimensional Jaulent–Miodek equation
  • the first integral method
  • kinks
  • solitons

PACS Nos

  • 02.30.Jr
  • 05.45.Yv