Topological and non-topological solitons of the generalized Klein-Gordon equations

Applied Mathematics and Computation

Volumn 215, Issue 1, 2009, Pages 212-220

  Sassaman, Ryan ^a   Biswas, Anjan ^a  

^a DELAWARE STATE UNIVERSITY   (United States)

Author keywords

Integrability; Integrals of motion; Solitons

Indexed keywords

CONSERVED QUANTITY; INTEGRABILITY; INTEGRALS OF MOTION; KLEIN-GORDON EQUATION; NON-LINEARITY; NONLINEAR KLEIN-GORDON EQUATION; SOLITARY WAVE; SOLITON SOLUTIONS; TOPOLOGICAL SOLITON;

CONTROL NONLINEARITIES; EQUATIONS OF MOTION; NONLINEAR EQUATIONS;

SOLITONS;

EID: 67949100450     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2009.05.001     Document Type: Article

References (15)

1. Basak K.C., Ray P.C., and Bera R.K. Solution of non-linear Klein-Gordon equation with a quadratic non-linear term by Adomian decomposition method. Communications in Nonlinear Science and Numerical Simulation 14 3 (2009) 718-723
2. Biswas A., Zony C., and Zerrad E. Soliton perturbation theory for the quadratic nonlinear Klein-Gordon equations. Applied Mathematics and Computation 203 1 (2008) 153-156
3. Chen G. Solution of the Klein-Gordon for exponential scalar and vector potentials. Physics Letters A 339 3-5 (2005) 300-303
4. Deng X., Zhao M., and Li X. Travelling wave solutions for a nonlinear variant of the phi-four equation. Mathematical and Computer Modelling 49 3-4 (2009) 617-622
5. Ebaid A. Exact solutions for the generalized Klein-Gordon equation via a transformation and Exp-function method and comparison with Adomian's method. Journal of Computational and Applied Mathematics 223 1 (2009) 278-290
6. Elgarayahi A. New periodic wave solutions for the shallow water equations and the generalized Klein-Gordon equation. Communications in Nonlinear Science and Numerical Simulation 13 5 (2008) 877-888
7. 6 field model. Physics Letters A 369 (2007) 255-261
8. Kudryashov N.A. Seven common errors in finding exact solutions of nonlinear differential equations. Communications in Nonlinear Science and Numerical Simulation 14 9-10 (2009)
9. Mustafa Inc. New compacton and solitary pattern solutions of the nonlinear modified dispersive Klein-Gordon equations. Chaos, Solitons & Fractals 33 4 (2007) 1275-1284
10. Sassaman R., and Biswas A. Soliton perturbation theory for phi-four model and nonlinear Klein-Gordon equations. Communications in Nonlinear Science and Numerical Simulations 14 8 (2009) 3226-3229
11. Sirendaoreji. Exact travelling wave solutions for four forms of nonlinear Klein-Gordon equations. Physics Letters A 363 (2007) 440-447
12. Wazwaz A.M. Solutions of compact and noncompact structures for nonlinear Klein-Gordon type equation. Applied Mathematics and Computation 134 2-3 (2003) 487-500
13. Wazwaz A.M. The tan h and sine-cosine methods for compact and noncompact solutions of the nonlinear Klein-Gordon equation. Applied Mathematics and Computation 167 2 (2005) 1179-1195
14. Wazwaz A.M. Generalized forms of the phi-four equation with compactons, solitons and periodic solutions. Mathematics and Computers in Simulations 69 5-6 (2005) 580-588
15. Wazwaz A.M. New travelling wave solutions to the Boussinesq and the Klein-Gordon equations. Communications in Nonlinear Science and Numerical Simulation 13 5 (2008) 889-901