Concepedia

A Riemann-Hilbert approach to the Kundu-nonlinear Schrödinger equation and its multi-component generalization

Jian Li, Tie-Cheng Xia

Journal of Mathematical Analysis and Applications · 2021 · 30 citations · 21 references

DOI

Concepts

References

21

A Steepest Descent Method for Oscillatory Riemann--Hilbert Problems. Asymptotics for the MKdV Equation

Percy Deift, Xin Zhou · Annals of Mathematics · 1993 · 1.4K citations

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A unified transform method for solving linear and certain nonlinear PDEs

A. S. Fokas · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · 1997 · 642 citations

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A steepest descent method for oscillatory Riemann-Hilbert problems

Percy Deift, Xin Zhou · Bulletin of the American Mathematical Society · 1992 · 473 citations · Full text

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The nonlinear Schrödinger equation on the half-line

A. S. Fokas, A. R. Its, L-Y Sung · Nonlinearity · 2005 · 254 citations · Full text

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Long-time asymptotics and the bright <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml7" display="inline" overflow="scroll" altimg="si7.gif"><mml:mi>N</mml:mi></mml:math>-soliton solutions of the Kundu–Eckhaus equation via the Riemann–Hilbert approach

Deng‐Shan Wang, Xiaoli Wang · Nonlinear Analysis Real World Applications · 2017 · 178 citations

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