Soliton Resolution for the Wadati–Konno–Ichikawa Equation with Weighted Sobolev Initial Data

Zhiqiang Li, Shou‐Fu Tian, Jin‐Jie Yang

Type: Article

Publication Date: 2022-03-11

Citations: 46

DOI: https://doi.org/10.1007/s00023-021-01143-z

View Publication

Download PDF

Locations

Annales Henri Poincaré - View
arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Long time asymptotic for the Wadati-Konno-Ichikawa equation with finite density initial data	2021	Zhiqiang Li Shou‐Fu Tian Jin‐Jie Yang
+	Soliton resolution for the Hirota equation with weighted Sobolev initial data	2021	Jin‐Jie Yang Shou‐Fu Tian Zhiqiang Li
+	Global solution of the Wadati-Konno-Ichikawa equation with small initial data	2016	Yusuke Shimabukuro
+	Soliton resolution for the focusing Fokas-Lenells equation with weighted Sobolev initial data	2020	Qiaoyuan Cheng Engui Fan
+	Soliton resolution for the Harry Dym equation with weighted Sobolev initial data	2021	Lin Deng Zhenyun Qin
+	Soliton resolution for a coupled generalized nonlinear Schrödinger equations with weighted Sobolev initial data	2020	Zhiqiang Li Shou‐Fu Tian Jin‐Jie Yang
+	Long-time asymptotics for the Wadati-Konno-Ichikawa equation with the Schwartz initial data	2021	Xin Wu Shou‐Fu Tian
+	On the soliton resolution and the asymptotic stability of N-soliton solution for the Wadati-Konno-Ichikawa equation with finite density initial data in space-time solitonic regions	2022	Zhiqiang Li Shou‐Fu Tian Jin‐Jie Yang
+	Soliton resolution for the complex short pulse equation with weighted Sobolev initial data	2021	Zhiqiang Li Shou‐Fu Tian Jin‐Jie Yang
+	The asymptotic stability of solitons for the focusing mKdV equation with weak weighted Sobolev initial data	2022	Anran Liu Engui Fan
+	Soliton Resolution for the Short-pluse Equation	2020	Yiling Yang Engui Fan
+ PDF Chat	<i>N</i>-soliton formula and blow-up result of the Wadati–Konno–Ichikawa equation	2017	Hsiao-Fan Liu Yusuke Shimabukuro
+	Soliton resolution for the short-pulse equation	2021	Yiling Yang Engui Fan
+ PDF Chat	Multi-Cuspon Solutions of the Wadati-Konno-Ichikawa Equation by Riemann-Hilbert Problem Method	2020	Youzhi Tu
+	Long-time asymptotics for the Elastic Beam equation in the solitonless region via $\bar{\partial}$ methods	2023	Wei‐Qi Peng Yong Chen
+	The Cauchy problem of the Camassa-Holm equation in a weighted Sobolev space: Long-time and Painlevé asymptotics	2022	Kai Xu Yiling Yang Engui Fan
+	Soliton resolution for the modified KdV equation	2019	Chen Gong Jiaqi Liu
+	Well-posedness of initial value problem of Hirota-Satsuma system in low regularity Sobolev space	2022	Xiangqing Zhao Zhi-Wei Lv
+	Long-time asymptotic behavior for the Novikov equation in solitonic regions of space time	2021	Yiling Yang Engui Fan
+	On the long-time asymptotic behavior of the Camassa-Holm equation in space-time solitonic regions	2022	Zhiqiang Li Shou‐Fu Tian Jin‐Jie Yang

Works That Cite This (27)

Action	Title	Year	Authors
+	Discussion on optical solitons, sensitivity and qualitative analysis to a fractional model of ion sound and Langmuir waves with Atangana Baleanu derivatives	2024	Mohammed Aldandani Syed T. R. Rizvi Abdulmohsen Alruwaili Aly R. Seadawy
+	A comprehensive study of wave dynamics in the (4+1)-dimensional space-time fractional Fokas model arising in physical sciences	2024	Miguel Vivas–Cortez Fozia Bashir Farooq Nauman Raza Nouf Abdulrahman Alqahtani Muhammad Imran Talat Nazir
+	Homoclinic breather, M-shaped rational, multiwaves and their interactional solutions for fractional quadratic-cubic nonlinear Schrödinger equation	2022	Tahira Batool Aly R. Seadawy Syed T. R. Rizvi Kashif Ali
+	Singular-loop rogue wave and mixed interaction solutions with location control parameters for Wadati–Konno–Ichikawa equation	2022	Zhe Lin Xiao-Yong Wen
+	Rational Solutions to the KPI Equation as Multi-lumps with a One Degree of Summation	2024	Pierre Gaillard
+	New waves solutions of a nonlinear Landau–Ginzburg–Higgs equation: The Sardar-subequation and energy balance approaches	2023	Shafiq Ahmad Emad E. Mahmoud Sayed Saifullah Aman Ullah Shabir Ahmad Ali Akgül Sayed M. El Din
+	An application of soliton solutions of a differential equation in the progression of aortic dissection	2023	Vishakha Jadaun Nitin Raja Singh
+	On the asymptotic stability of N-soliton solution for the short pulse equation with weighted Sobolev initial data	2023	Zhiqiang Li Shou‐Fu Tian Jin‐Jie Yang
+	Abundant solitary wave solutions of Gardner's equation using three effective integration techniques	2023	Ghazala Akram Saima Arshed Maasoomah Sadaf Hajra Mariyam Muhammad Nauman Aslam Riaz Ahmad Ilyas Khan Jawaher Alzahrani
+	Hybrid and physical interaction phenomena solutions to the Hirota bilinear equation in shallow water waves theory	2023	Hajar F. Ismael Harivan R. Nabi Tukur Abdulkadir Sulaıman Nehad Ali Shah Sayed M. Eldin Hasan Bulut

Works Cited by This (49)

Action	Title	Year	Authors
+	None	2003	Daniel W. Lozier
+	Long-time Asymptotics for the NLS equation via dbar methods	2008	Momar Dieng K. T-R McLaughlin
+	Algebro‐geometric constructions of the Wadati‐Konno‐Ichikawa flows and applications	2015	Zhu Li Xianguo Geng L. Guan
+	Orbital Stability for Stationary Solutions of the Wadati–Konno–Ichikawa–Shimizu Equation	2013	Robert A. Van Gorder
+	The short-wave model for the Camassa–Holm equation: a Riemann–Hilbert approach	2011	Anne Boutet de Monvel Dmitry Shepelsky Lech Zieliński
+	L2-Sobolev space bijectivity of the scattering and inverse scattering transforms	1998	Xin Zhou
+	New Integrable Nonlinear Evolution Equations	1979	Miki Wadati Kimiaki Konno Yoshi H. Ichikawa
+	Semiclassical Limit of Focusing NLS for a Family of Square Barrier Initial Data	2013	R. M. Jenkins K. T-R McLaughlin
+ PDF Chat	The Steepest Descent Method for Orthogonal Polynomials on the Real Line with Varying Weights	2008	K. T-R McLaughlin Peter D. Miller
+ PDF Chat	Long-time asymptotics for integrable systems. Higher order theory	1994	Percy Deift Xin Zhou