| The perturbed sine-Gordon equation is investigated by the inverse scattering trans-form.By introducing the small correction to the integrable sine-Gordon equation,the perturbed evolution equations for the scattering data in the lowest approximation are ob-tained.These results can be reduced to the classical results of the integable sine-Gordon equation by choosing zero corrections.The approximate solution of perturbed sine-Gordon equation is given.The approximate solution is divided into two parts,one is the adiabatic approximate solution,and the other is the related formula for the adiabatic solution accu-rate to level ?. |
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