@Article{JNMA-6-2,
author = {Zhang, Hongyi and Zhang, Yufeng},
title = {Long-Time Asymptotics of Complex mKdV Equation with Weighted Sobolev Initial Data},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2024},
volume = {6},
number = {2},
pages = {413--434},
abstract = {<p style="text-align: justify;">In this paper, we apply $\overline{\partial}$-steepest descent method to analyze the
long-time asymptotics of complex mKdV equation with the initial value belonging to weighted Sobolev spaces. Firstly, the Cauchy problem of the complex mKdV equation is transformed into the corresponding Riemann-Hilbert
problem on the basis of the Lax pair and the scattering data. Then the long-time asymptotics of complex mKdV equation is obtained by studying the
solution of the Riemann-Hilbert problem.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2024.413},
url = {https://global-sci.com/article/91161/long-time-asymptotics-of-complex-mkdv-equation-with-weighted-sobolev-initial-data}
}