Hamiltonian Structure and New Exact Soliton Solutions of Some Korteweg – De Vries Equations
نویسندگان
چکیده
In this paper, we discuss the Hamiltonian structure of Korteweg–de Vries equation, modified Korteweg–de Vries equation, and generalized Korteweg– de Vries equation. We proposed the Sine-function algorithm to obtain the exact solution for non-linear partial differential equations. This method is used to obtain the exact solutions for KdV, mKdV and GKdV equations. Also, we have applied the method to Burgers equation which does not admit Hamiltonian structure. 2000 Mathematics Subject Classification: 35Q53, 37K10.
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