On the Cauchy problem of defocusing mKdV equation with finite density initial data: long time asymptotics in soliton-less regions
DOI10.1016/j.jde.2023.06.038zbMath1522.35436arXiv2108.06284MaRDI QIDQ6073616
Taiyang Xu, Zechuan Zhang, En-gui Fan
Publication date: 18 September 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.06284
Riemann-Hilbert problemlong time asymptoticsdefocusing mKdV equation\(\bar{\partial}\) steepest descent methodsoliton-less regions
Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Asymptotic expansions of solutions to PDEs (35C20) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08)
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