The Newell equation's long-time asymptotics are derived explicitly in the dispersive region via Riemann-Hilbert analysis and nonlinear steepest descent.
Lenells, The nonlinear steepest descent method for Riemann-Hilbert problems of low regu- larity, Indiana Univ
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Long-time asymptotics of the Newell equation on the line
The Newell equation's long-time asymptotics are derived explicitly in the dispersive region via Riemann-Hilbert analysis and nonlinear steepest descent.