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We show that stable standing wave localized solutions of square symmetry are possible for a quintic Swift-Hohenberg type equation with complex coefficients. We point out that these localized solutions, which are surrounded by a pattern-free state exist for a range of values for the external stress parameter subcritically. We discuss similarities to recent exp;erimental observations of standing wave localized squares in granular materials.
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Sakaguchi et al. (1997) studied this question.
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