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Long-time asymptotics of the Tzitz\'eica equation on the line

math-ph · 2024-04-07 · unverdicted · novelty 5.0

Long-time asymptotics for the Tzitzéica equation are derived via reflection coefficients, a constructed Riemann-Hilbert problem, and nonlinear steepest descent, with leading terms matching numerical simulations.

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  • Long-time asymptotics of the Tzitz\'eica equation on the line math-ph · 2024-04-07 · unverdicted · none · ref 50

    Long-time asymptotics for the Tzitzéica equation are derived via reflection coefficients, a constructed Riemann-Hilbert problem, and nonlinear steepest descent, with leading terms matching numerical simulations.