Analytic study on the generalized fifth-order KdV equation: New solitons and periodic solutions

Communications in Nonlinear Science and Numerical Simulation

Volumn 12, Issue 7, 2007, Pages 1172-1180

  Wazwaz, Abdul Majid ^a  

^a SAINT XAVIER UNIVERSITY   (United States)

Author keywords

Generalized KdV equation; Sinh cosh ansatz; Solitons; The tanh method

Indexed keywords

MATHEMATICAL MODELS; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS;

SINH-COSH FUNCTION; TANH METHOD;

SOLITONS;

MATHEMATICAL MODELS; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; SOLITONS;

EID: 34047095248     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2006.01.014     Document Type: Article

References (16)

1. Chen H.-T., and Zhang H.-Q. New double periodic and multiple soliton solutions of the generalized (2 + 1) -dimensional Boussinesq equation. Chaos Solitons Fractals 20 (2004) 765-769
2. Barannyk L.F., Kloskowska B., and Mityushev V.V. Invariant solutions of the multidimensional Boussinesq equation. Symmetry Nonlinear Math Phys 1 (1997) 62-69
3. Benjamin R.T., Bona J.L., and Mahony J.J. Model equations for long waves in nonlinear dispersive systems. Philos Trans Roy Soc London 272 (1972) 47-78
4. Ablowitz M.J., and Clarkson P.A. Solitons, nonlinear evolution equations and inverse scattering (1991), Cambridge University press, Cambridge
5. Hereman W., and Takaoka M. Solitary wave solutions of nonlinear evolution and wave equations using a direct method and MACSYMA. J Phys A 23 (1990) 4805-4822
6. Wadati M. Introduction to solitons. Pramana: J Phys 57 5-6 (2001) 841-847
7. Wadati M. The modified Kortweg-de Vries equation. J Phys Soc Jpn 34 (1973) 1289-1296
8. Wazwaz AM. New solitons and kink solutions for the Gardner equation, Commun Nonlinear Sci Numer Simul, in press, doi:10.1016/j.cnsns.2005.11.007.
9. Wazwaz A.M. Partial Differential Equations:Methods and Applications (2002), Balkema Publishers, The Netherlands
10. Wazwaz A.M. New solitary-wave special solutions with compact support for the nonlinear dispersive K(m, n) equations. Chaos Solitons Fractals 13 2 (2002) 321-330
11. Wazwaz A.M. General solutions with solitary patterns for the defocussing branch of the nonlinear dispersive K(n, n) equations in higher dimensional spaces. Appl Math Comput 133 2/3 (2002) 229-244
12. Wazwaz A.M. Compactons and solitary patterns structures for variants of the KdV and the KP equations. Appl Math Comput 139 1 (2003) 37-54
13. Wazwaz A.M. An analytic study of compactons structures in a class of nonlinear dispersive equations. Math Comput Simul 63 1 (2003) 35-44
14. Wazwaz A.M. The tanh method for travelling wave solutions of nonlinear equations. Appl Math Comput 154 3 (2004) 713-723
15. Malfliet W. The tanh method: a tool for solving certain classes of nonlinear evolution and wave equations. J Comput Appl Math 164-165 (2004) 529-541
16. Malfliet W. Solitary wave solutions of nonlinear wave equations. Am J Phys 60 7 (1992) 650-654