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Generic solutions for some integrable lattice equations. (English) Zbl 0850.35095
Theor. Math. Phys. 99, No. 2, 505-510 (1994) and Teor. Mat. Fiz. 99. No. 2, 177-184 (1994).
Summary: We derive the expressions for \(\psi\)-functions and generic solutions of lattice principal chiral equations, lattice KP hierarchy and hierarchy including lattice \(N\)-wave type equations. \(\tau\)-function of \(n\) free fermions plays a fundamental role in this context. Miwa’s coordinates in our case appear as the lattice parameters.
MSC:
35Q53 KdV equations (Korteweg-de Vries equations)
81T25 Quantum field theory on lattices
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