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Jacobian elliptic travelling wave solutions for a new Hamiltonian amplitudeequation determining some instabilities of modulated wave train are obtained.By mere variation of the Jacobian elliptic parameter $k^2$ from zero to one,these solutions are transformed from a trivial one to the known solitarysolutions.

Jacobian Elliptic Wave Solutions for the Wadati–Segur–Ablowitz Equation