Formulated shape-invariant traveling waves and derived conditions in integer lattices, suggesting new methods for wave classification.
We formulate shape-invariant traveling waves on the integer lattice Z^4 and derive their existence conditions, conserved quantities, and self-consistent update loops. The framework provides the lattice-theoretic foundation for the mode classification in the companion paper on four modes of shape-invariant waves.
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Noriaki Kihara (2026) studied this question.
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