Abstract
The sech2 solitary wave solution of the regularized long wave equation is reobtained via the inverse scattering transform. The wave function of the eigenvalue problem of the relevant Schrödinger equation is proved reflectionless with sech2 potential of arbitrary amplitude. Moreover, the nonexistence of N-solitary wave solution (sech2 form and N≥2) is confirmed for the regularized long wave (RLW) equation and the method provides the possibility of solving some incompletely integrable equations via the inverse scattering transform.
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