An effective method for finding special solutions of nonlinear differential equations with variable coefficients

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 372, Issue 18, 2008, Pages 3240-3242

  Qin, Maochang ^a   Fan, Guihong ^b  

^a CHONGQING TECHNOLOGY AND BUSINESS UNIVERSITY   (China)

^b MCMASTER UNIVERSITY   (Canada)

Author keywords

Nonlinear differential equations; Special solutions; Variable coefficients

Indexed keywords

DIFFERENTIAL EQUATIONS;

BERNOULLI EQUATIONS; CONSTANT COEFFICIENTS; NONLINEAR DIFFERENTIAL EQUATION; SPECIAL SOLUTIONS; VARIABLE COEFFICIENTS;

NONLINEAR EQUATIONS;

EID: 41649083940     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2008.01.058     Document Type: Article

References (15)

1. Gardner C.S., Greene J.M., Kruskal M.D., and Miura R.R. Phys. Rev. Lett. 19 (1967) 1095
2. Ablowitz M.J., and Clarcson P.A. Solitons, Nonlinear Evolution Equations and Inverse Scattering (1991), Cambridge Univ. Press
3. Kudryashov N.A. Analytical Theory of Nonlinear Differential Equations (2004), Institute of Computer Investigations, Moscow-Izhevsk (in Russian)
4. Hirota R. Phys. Rev. Lett. 27 (1973) 1192
5. Yan C.T. Phys. Lett. A 224 (1996) 77
6. Fu Z., Liu S., and Liu S. Phys. Lett. A 326 (2004) 364
7. Fu Z., Zhang L., Liu S., and Liu S. Phys. Lett. A 325 (2004) 363
8. Liu G.T., and Fan T.Y. Phys. Lett. A 345 (1996) 161
9. Parkers E.J., and Duffy B.R. Comput. Phys. Commun. 98 (1996) 288
10. Elwakil S.A., Elabany S.K., Zahran M.A., and Sabry R. Phys. Lett. A 299 (2002) 179
11. Kudryashov N.A. Phys. Lett. A 155 (1991) 269
12. Yan Z.Y. Chaos Solitons Fractals 21 (2004) 1013
13. Kudryashov N.A. J. Appl. Math. Mech. 52 (1988) 361
14. Kudryashov N.A. Phys. Lett. A 147 (1990) 287
15. Kuramoto Y., and Tsuzuki T. Prog. Theor. Phys. 55 (1976) 356