D = 2, N = 2 generalized Wess-Zumino theory is investigated by the dimensional reduction from D = 4, N = 1 theory. For each solitonic configuration (i, j) the classical static solution is solved by the Hamilton-Jacobi method of equivalent one-dimensional classical mechanics. It is easily shown that the Bogomol'nyi mass bound is saturated by these solutions and triangular mass inequality
We will show that 2-dimensional N = 2-extended supersymmetric theory can have solitonic solution using the Hamilton-Jacobi method of classical mechanics. Then it is shown that the Bogomol'nyi mass bound is saturated by these solutions and triangular mass inequality is satisfied. At the end, we will mention domain-wall structure in 3-dimensional spacetime.
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