supported by the National Natural Science Foundation of China(Grant Nos.11301012 and 11271363);the Excellent Young Teachers Program of North China University of Technology(Grant No.14058);the Doctoral Fund of North China University of Technology(Grant No.41)
We show that the generalized short pulse equation is nonlinearly self-adjoint with differential substitution.Moreover,any adjoint symmetry is a differential substitution of nonlinear self-adjointness,and vice versa.Co...