Long-time asymptotics and the bright N-soliton solutions of the Kundu–Eckhaus equation via the Riemann–Hilbert approach

By Deng‐Shan Wang, Xiaoli Wang. 2018

194 citations recorded by the source corpus.

Subfields: Modeling and Simulation, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/99c78f4aa456f8d8e928766232920aa20f63bddd

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In Modeling and Simulation

1. B. Guo
2. Nan Liu

In Statistical and Nonlinear Physics

1. B. Guo
2. Nan Liu

Citations in the corpus

• Long-time asymptotics for the Sasa–Satsuma equation via nonlinear steepest descent method (2018, methodology): “This approach has been successfully applied in determining asymptotic formulas for the initial value problems of a number of integrable systems associated with 2× 2 matrix sprectral problems including the mKdV equation [10], the defocusing NLS equation [11], the KdV equation [14], the Hirota equatio”
• Lump and Interaction Solutions of Linear PDEs in (3 + 1)-Dimensions (2019, unknown): “The above results supplement the existing theories of rational, soliton and dromion-type solutions obtained earlier by using Hirota perturbation technique [15], symmetry reductions [4,10,34], symmetry constraints [3,11,12,49], multiple exp-function methods [13] and the Riemann-Hilbert technique [33]”