Whitham-Broer-Kaup-Like方程组的精确解和守恒律 Exact solutions and conservation laws of Whi-tham-Broer-Kaup-Like equations

摘要

通过利用修正CK直接方法建立了Whitham-Broer-Kaup-Like(WBKL)方程组的对称群理论。利用对称群理论和WBKL方程组的旧解得到了它们的新的精确解。基于上述理论和WBKL方程组的共轭方程组的理论，得到了WBKL方程组的守恒律。 By using the modified CK’s direct method, we derive the symmetry group theorem of WBKL equations. The new exact solutions of WBKL equations are obtained by applied the symmetry group theorem and the old solutions. Based on the above theorem and the adjoint equations, we derive the conservation laws of WBKL equations.