Higher-order variational approach to non-Borel systems. The energies of the double-well potential

A non-variational approach to the constr

A non-variational approach to the construction of new ‘higher-order’ conservation laws of the family of nonlinear equations α(ut + 3uux) + β(utxx + 2uxuxx + uuxxx) − γuxxx = 0

✍ A.H. Kara; Ashfaque H. Bokhari 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 193 KB

## Saxton and the inviscid Burgers equations a b s t r a c t In this paper, we study and classify the conservation laws of the combined nonlinear KdV, Camassa-Holm, Hunter-Saxton and the inviscid Burgers equation which arises in, inter alia, shallow water equations. It is shown that these can be o