Conservation laws of the Hunter–Saxton equation for liquid crystal are constructed by using
multipliers. Based on the obtained conservation laws, we construct a tree of partial …

In this article, we obtain several new exact solutions of (2+ 1)-dimensional Boiti–Leon–
Pempinelli system of nonlinear partial differential equations (PDEs) which describes the …

A bstract Higher-form symmetries are associated with transformations that only act on
extended objects, not on point particles. Typically, higher-form symmetries live alongside …

A discrete matrix spectral problem is presented and the hierarchy of discrete integrable
systems is derived. Their Hamiltonian structures are established. As to the discrete …

Nonlocally related partial differential equation (PDE) systems are important in the analysis of
a given PDE system. In particular, they are useful for seeking nonlocal symmetries. It is …

A discrete matrix spectral problem is proposed, the hierarchy of discrete integrable system is
inferred, which are Liouville integrable. And the Hamiltonian structures of the hierarchy are …

For many systems of partial differential equations (PDEs), including nonlinear ones, one can
construct nonlocally related PDE systems. In recent years, such nonlocally related systems …

We construct an infinite hierarchy of nonlocal conservation laws for the ABC equation A u_t\,
u_ xy+ B u_x\, u_ ty+ C u_y\, u_ tx= 0 A utuxy+ B uxuty+ C uyutx= 0, where A, B, C are …

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Abstract In this work the (2+ 1) dimensional integrable Maccari system is studied. An
effective algorithmic method—the multiplier approach for finding the conservation laws of …