A Field Method Suitable for Application in Conservative and Nonconservative Mechanics
As demonstrated in t he last several paragraphs, t he Hamil ton-Jacob i method can be advantageously used in many pr actical sit uat ions as an exact method for solving the canonical differential equat ions of mot ion. In addition, a variety of approximate methods can be built up , based upo n this method , for solving nonlinear problems for which an exact, complete solu tion of the Hamilton-J acobi nonlinear partial differential equa t ion is not available. An exha ust ive review of applica t ions of the Hamilton-Jacobi metho d is pr esented in the monographs of Kevorkian and Kole  and Neyfeh .
KeywordsRiccati Equation Complete Solution Field Method Auxiliary Equation Incomplete Solution
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