supersymmetricornot,hasrevivedbecauseitgivesapproximatesolutionto thedynamicalequationinthespacedirectionperpendiculartothewall. Inthisnoteweshowthatthesolitonequationof(1+1)-dimensional (N=2)-extendedgeneralizedWess-Zuminomodelcanbeverysimplysolved bytheHamilton-Jacobimethod.Alsowecanproveanexactinequalityof soliton...
withVariableCoefficients CHENHuai2tang(陈怀堂) 1,2 ,ZHANGHong2qing(张鸿庆) 1 (1.DepartmentofAppliedMathematics,DalianUniversityofTechnology,Dalian116024, China;2.DepartmentofMathematics,LinyiTeacher’sUniversity,Linyi276005,China) Abstract:AgeneralizedJacobiellipticfunctionmethodisusedforconstructingexacttravelling...
Using a method which is largely analogous to that shown in FIG. 3, an air filter may be constructed with an integrated pre-filter, the integral construction naturally being on the inlet side of the folded filter insert. The adhesive used according to the invention includes any substance enablin...
TomlinAbstract—Hamilton-Jacobi (HJ) reachability analysis is animportant formal verif i cation method for guaranteeing per-formance and safety properties of dynamical systems; it hasbeen applied to many small-scale systems in the past decade.Its advantages include compatibility with general nonlinear...
5. Conclusions In this paper we have derived Gaussian quadrature method for the evaluation of the ∫∫∫triple integral f (x, y, z)dxdydz , where f ( x, y, z) is an analytic function in and T T 196 H. T. Rathod and B. Venkatesh refers to the standard tetrahedral region:{(x, ...
Finally, an easy example is provided in Section 4, with the aim of showing how the method works, avoiding useless computational complications. 2 II Preliminaries This section is devoted to recalling the geometrical environment where La- grangian and Hamiltonian dynamics for field theories is devel...
veryeasytofind;thisresultrecoversinthestochasticcontexttheclassicalsolutionmethodby reductiontotheequilibriumofaHamiltoniansystem. Keywords:stochasticdifferentialequation,Hamiltonianstochasticdifferentialequation,Hamilton-Jacobiequation. 1Introduction HamiltoniandiffusionswereintroducedandstudiedbyBismutinthemonograph[...
symmetry which would match a triaxial system, we have up to now no method to exclude axial symmetry with respect to the x 3 -axis for the perturbations constructed by the implicit function theorem. The approach described above has been used by Lichtenstein for proving the ...
solution must coincide with the viscosity solution defined by Crandall and Lions (in [Crandall-Lions], see also our definition 2.11), so that our results extend those of Barles and Tourin. However in general these two solutions do not coincide (see an example in [Viterbo 2]). For ...
In this method, first we take a finite-dimensional approximation of the unknown function. Further, using an operational matrix of integration and the Rayleigh-Ritz method in the variational problem, we obtain a system of non-linear algebraic equations whose solution gives an approximate solution for...