Research Article

Multiple Soliton Solutions of Some Nonlinear Partial Differential Equations

Volume: 1 Number: 4 December 20, 2018
EN

Multiple Soliton Solutions of Some Nonlinear Partial Differential Equations

Abstract

In this paper, we implemented an improved tanh function Method for multiple soliton solutions of new coupled Konno-Oono equation and extended (3+1)-dimensional KdV-type equation.

Keywords

New coupled Konno-Oono equation,extended (3+1)-dimensional KdV-type equation,Improvedtanh function method,Multiple soliton solutions

References

  1. [1] L. Debtnath, Nonlinear partial differential equations for scientist and engineers, Birkhauser, Boston, MA, 1997.
  2. [2] A. M. Wazwaz, Partial differential equations: methods and applications, Balkema, Rotterdam, 2002.
  3. [3] Y. Shang, Backlund transformation,Lax pairs and explicit exact solutions for the shallow water wave sequation, Appl. Math. Comput., 187 (2007), 1286-1297.
  4. [4] T. L. Bock, M. D. Kruskal, A two-parameter Miura transformation of the Benjamin-Onoequation, Phys. Lett. A, 74 (1979), 173-176.
  5. [5] V. B. Matveev, M. A. Salle, Darboux transformations and solitons, Springer, Berlin, 1991.
  6. [6] A.M. Abourabia, M. M. El Horbaty, On solitary wave solutions for the two-dimensional nonlinear modified Kortweg-de Vries-Burger equation, Chaos Solitons Fractals, 29 (2006), 354-364.
  7. [7] W. Malfliet, Solitary wave solutions of nonlinear wave equations, Am. J. Phys., 60 (1992), 650-654.
  8. [8] Y. Chuntao, A simple transformation for nonlinear waves, Phys. Lett. A, 224 (1996), 77-84.
  9. [9] F. Cariello, M. Tabor, Painlev eexpansions for nonintegrable evolution equations, Phys. D, 39(1989), 77-94.
  10. [10] E. Fan, Two new application of the homogeneous balance method, Phys. Lett. A, 265 (2000), 353-357.
APA
İnan, İ. E. (2018). Multiple Soliton Solutions of Some Nonlinear Partial Differential Equations. Universal Journal of Mathematics and Applications, 1(4), 273-279. https://doi.org/10.32323/ujma.399596
AMA
1.İnan İE. Multiple Soliton Solutions of Some Nonlinear Partial Differential Equations. Univ. J. Math. Appl. 2018;1(4):273-279. doi:10.32323/ujma.399596
Chicago
İnan, İbrahim Enam. 2018. “Multiple Soliton Solutions of Some Nonlinear Partial Differential Equations”. Universal Journal of Mathematics and Applications 1 (4): 273-79. https://doi.org/10.32323/ujma.399596.
EndNote
İnan İE (December 1, 2018) Multiple Soliton Solutions of Some Nonlinear Partial Differential Equations. Universal Journal of Mathematics and Applications 1 4 273–279.
IEEE
[1]İ. E. İnan, “Multiple Soliton Solutions of Some Nonlinear Partial Differential Equations”, Univ. J. Math. Appl., vol. 1, no. 4, pp. 273–279, Dec. 2018, doi: 10.32323/ujma.399596.
ISNAD
İnan, İbrahim Enam. “Multiple Soliton Solutions of Some Nonlinear Partial Differential Equations”. Universal Journal of Mathematics and Applications 1/4 (December 1, 2018): 273-279. https://doi.org/10.32323/ujma.399596.
JAMA
1.İnan İE. Multiple Soliton Solutions of Some Nonlinear Partial Differential Equations. Univ. J. Math. Appl. 2018;1:273–279.
MLA
İnan, İbrahim Enam. “Multiple Soliton Solutions of Some Nonlinear Partial Differential Equations”. Universal Journal of Mathematics and Applications, vol. 1, no. 4, Dec. 2018, pp. 273-9, doi:10.32323/ujma.399596.
Vancouver
1.İbrahim Enam İnan. Multiple Soliton Solutions of Some Nonlinear Partial Differential Equations. Univ. J. Math. Appl. 2018 Dec. 1;1(4):273-9. doi:10.32323/ujma.399596

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