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Exact Travelling Wave Solutions of the Nonlinear Gardner-Kawahara Equation by the Standard (G^'/G) –Expansion Method

Year 2019, Volume: 2 Issue: 1, 43 - 51, 02.08.2019

Wafaa Taha , Zahraa Hussein

Abstract

An important idea of this article is to study
the solution of the Gardner-Kawahara equation which is modelled to investigate
the waves in magnetized plasma. To follow standard -expansion method more common forms of solutions
are obtained, If the parameters were taken at special values, periodic,
solitary, and rational results will obtained

Keywords

(G^'/G) –expansion method Gardner-Kawahara equation

Supporting Institution

This research is supported by the University of Kirkuk

Thanks

thanks

References

  • M. Wang, X. Li, and J. Zhang, “The ()-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics,” Phys. Lett. A, vol. 372, no. 4, pp. 417–423, Jan. 2008.
  • A. Fluid et al., “Internal Solitary Waves in Two-Layer Fluids at Near-Critical Situation,” vol. 4, no. December, pp. 11–14, 2014.
  • M. K. Elboree, “Hyperbolic and trigonometric solutions for some nonlinear evolution equations,” Commun. Nonlinear Sci. Numer. Simul., vol. 17, no. 11, pp. 4085–4096, Nov. 2012.

Year 2019, Volume: 2 Issue: 1, 43 - 51, 02.08.2019

Wafaa Taha , Zahraa Hussein

Abstract

References

  • M. Wang, X. Li, and J. Zhang, “The ()-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics,” Phys. Lett. A, vol. 372, no. 4, pp. 417–423, Jan. 2008.
  • A. Fluid et al., “Internal Solitary Waves in Two-Layer Fluids at Near-Critical Situation,” vol. 4, no. December, pp. 11–14, 2014.
  • M. K. Elboree, “Hyperbolic and trigonometric solutions for some nonlinear evolution equations,” Commun. Nonlinear Sci. Numer. Simul., vol. 17, no. 11, pp. 4085–4096, Nov. 2012.
There are 3 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Wafaa Taha 0000-0002-7497-9544

Zahraa Hussein This is me

Publication Date August 2, 2019
Published in Issue Year 2019 Volume: 2 Issue: 1

Cite

APA Taha, W., & Hussein, Z. (2019). Exact Travelling Wave Solutions of the Nonlinear Gardner-Kawahara Equation by the Standard (G^’/G) –Expansion Method. Journal of Multidisciplinary Modeling and Optimization, 2(1), 43-51.
AMA Taha W, Hussein Z. Exact Travelling Wave Solutions of the Nonlinear Gardner-Kawahara Equation by the Standard (G^’/G) –Expansion Method. jmmo. August 2019;2(1):43-51.
Chicago Taha, Wafaa, and Zahraa Hussein. “Exact Travelling Wave Solutions of the Nonlinear Gardner-Kawahara Equation by the Standard (G^’/G) –Expansion Method”. Journal of Multidisciplinary Modeling and Optimization 2, no. 1 (August 2019): 43-51.
EndNote Taha W, Hussein Z (August 1, 2019) Exact Travelling Wave Solutions of the Nonlinear Gardner-Kawahara Equation by the Standard (G^’/G) –Expansion Method. Journal of Multidisciplinary Modeling and Optimization 2 1 43–51.
IEEE W. Taha and Z. Hussein, “Exact Travelling Wave Solutions of the Nonlinear Gardner-Kawahara Equation by the Standard (G^’/G) –Expansion Method”, jmmo, vol. 2, no. 1, pp. 43–51, 2019.
ISNAD Taha, Wafaa - Hussein, Zahraa. “Exact Travelling Wave Solutions of the Nonlinear Gardner-Kawahara Equation by the Standard (G^’/G) –Expansion Method”. Journal of Multidisciplinary Modeling and Optimization 2/1 (August 2019), 43-51.
JAMA Taha W, Hussein Z. Exact Travelling Wave Solutions of the Nonlinear Gardner-Kawahara Equation by the Standard (G^’/G) –Expansion Method. jmmo. 2019;2:43–51.
MLA Taha, Wafaa and Zahraa Hussein. “Exact Travelling Wave Solutions of the Nonlinear Gardner-Kawahara Equation by the Standard (G^’/G) –Expansion Method”. Journal of Multidisciplinary Modeling and Optimization, vol. 2, no. 1, 2019, pp. 43-51.
Vancouver Taha W, Hussein Z. Exact Travelling Wave Solutions of the Nonlinear Gardner-Kawahara Equation by the Standard (G^’/G) –Expansion Method. jmmo. 2019;2(1):43-51.
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