Abstract
In the paper, we introduce the concept of nonlinear intensity, study a fully nonlinear sine-Gordon equation SG( m , n , p ) and obtain a new type of peakon solutions and kink solutions by a direct method. Research approximate SG( m , n , p ) equation and obtain a new multi-compacton and peakon solutions of approximate SG( m , n , p ) equation. At last, we study a fully nonlinear sine-Gordon equation under high dimension.
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