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We consider the Cauchy problem of integrable nonlinear Schrödinger equation with quartic terms on the line. The first part of the paper considers the Riemann-Hilbert formula via the unified method(also… Click to show full abstract
We consider the Cauchy problem of integrable nonlinear Schrödinger equation with quartic terms on the line. The first part of the paper considers the Riemann-Hilbert formula via the unified method(also known as the Fokas method). The second part of the paper establishes asymptotic formulas for the solution of initial value problem using the nonlinear steepest descent method(also known as the Deift-Zhou method).
Keywords:
dinger equation;
nonlinear schr;
integrable nonlinear;
cauchy problem;
problem;
schr dinger
Journal Title: Journal of Nonlinear Mathematical Physics
Year Published: 2020
Link to full text (if available)
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Journal Title: Journal of Nonlinear Mathematical Physics
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!