Application of the Adomian Decomposition Method to Fully Nonlinear Sine-Gordon Equation
نویسندگان
چکیده
In this paper, a type of fully nonlinear Sine-Gordon equations and the approximate Sine-Gordon equation (under the condition: |up|is very small) are studied.Through proper transformation, some initial value problems of many equations with special nonlinear terms are solved by the Adomian decomposition method and some exact solutions: kink solution ,compacton solution, multi-compacton solution, and compacton-kink solution. Some new types of solutions are also generated by combining different kinds of solutions.
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