A new solitary wave solution for the new Hamiltonian amplitude equation

A solution for the new Hamiltonian amplitude equation is derived using a property of the reciprocal Weierstrass elliptic function. The Weierstrass elliptic function solution has been subsequently expressed in terms of the Jacobian elliptic function. The solitary wave solution which is the infinite period counterpart of the Jacobian elliptic function solution has also been derived.