扩展的(2+1)维Jaulent-Miodek方程的显式解和守恒律

Explicit Solutions,Conservation Laws of the Extended(2+1)-dimensional Jaulent-Miodek Equation

通过直接对称方法,得到了扩展的(2+1)维Jaulent-Miodek方程的经典李对称,并且利用对称得到了该方程的相似约化方程和群不变解.通过解约化方程得到了大量新的精确解,其中包括Weierstrass周期解、椭圆周期解、三角函数解等.最后,利用得到的对称和共轭方程,求得了该方程的守恒律.

By applying the direct symmetry method, the classical Lie symmetry for the extended （2＋1）-dimensional Jaulent-Miodek equation were obtained, and further the symmetry reductions and group in- variant solutions were obtained from this symmetry. Many new exact solutions of this equation were obtained through the symmetry, which include Weierstrass periodic solutions, elliptic periodic solutions, and triangular function solutions. Finally, the conservation laws of the equation were obtained by using the symmetry and adjoint equations.