Inverse scattering transform of the coupled modified Korteweg-de Vries equation with nonzero boundary conditions
暂无分享,去创建一个
[1] Yang Chen,et al. The Riemann–Hilbert analysis to the Pollaczek–Jacobi type orthogonal polynomials , 2019, Studies in Applied Mathematics.
[2] Shou-Fu Tian,et al. Initial–boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method☆ , 2017 .
[3] K. Kozlowski,et al. Riemann–Hilbert approach to a generalized sine kernel , 2019, Letters in Mathematical Physics.
[4] Bo Xue,et al. Explicit solutions and conservation laws of the coupled modified Korteweg–de Vries equation , 2015 .
[5] Gino Biondini,et al. Inverse scattering transform for the focusing nonlinear Schrödinger equation with nonzero boundary conditions , 2014 .
[6] Xianguo Geng,et al. Inverse scattering transform and soliton classification of the coupled modified Korteweg-de Vries equation , 2017, Commun. Nonlinear Sci. Numer. Simul..
[7] G. Kovačič,et al. The focusing Manakov system with nonzero boundary conditions , 2015 .
[8] Wenxiu Ma,et al. The Hirota-Satsuma Coupled KdV Equation and a Coupled Ito System Revisited , 2000 .
[9] Robert M. Miura,et al. Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation , 1968 .
[10] Xianguo Geng,et al. A generalized Hirota–Satsuma coupled Korteweg–de Vries equation and Miura transformations , 1999 .
[11] Shou-Fu Tian,et al. Initial-boundary value problems for the coupled modified Korteweg-de Vries equation on the interval , 2018 .
[12] Gino Biondini,et al. Inverse Scattering Transform for the Defocusing Manakov System with Nonzero Boundary Conditions , 2015, SIAM J. Math. Anal..
[13] X. Geng,et al. Riemann–Hilbert approach and N-soliton solutions for a generalized Sasa–Satsuma equation , 2016 .
[14] Yang Chen,et al. Critical edge behavior in the perturbed Laguerre unitary ensemble and the Painlevé V transcendent , 2017, Journal of Mathematical Analysis and Applications.
[15] Decio Levi,et al. A hierarchy of coupled Korteweg-de Vries equations , 1983 .
[16] Xianguo Geng,et al. Algebro-geometric solutions of the coupled modified Korteweg–de Vries hierarchy , 2014 .
[17] Zhenya Yan,et al. Inverse scattering transforms and soliton solutions of focusing and defocusing nonlocal mKdV equations with non-zero boundary conditions , 2020 .
[18] C. S. Gardner,et al. Korteweg-devries equation and generalizations. VI. methods for exact solution , 1974 .
[19] J. Lenells,et al. Asymptotics for the Sasa–Satsuma equation in terms of a modified Painlevé II transcendent , 2019, Journal of Differential Equations.
[20] A. Fordy,et al. Generalised KdV and MKdV equations associated with symmetric spaces , 1987 .
[21] Q. P. Liu,et al. New Darboux transformation for Hirota–Satsuma coupled KdV system , 2002 .
[22] X. Geng,et al. Long-time asymptotics of the coupled modified Korteweg–de Vries equation , 2019, Journal of Geometry and Physics.
[23] Shuai‐Xia Xu,et al. Gap Probability of the Circular Unitary Ensemble with a Fisher–Hartwig Singularity and the Coupled Painlevé V System , 2019, Communications in Mathematical Physics.
[24] N. Yajima,et al. A Class of Exactly Solvable Nonlinear Evolution Equations , 1975 .
[25] Shou-Fu Tian,et al. Initial-boundary value problems of the coupled modified Korteweg–de Vries equation on the half-line via the Fokas method , 2017 .
[26] C. S. Gardner,et al. Method for solving the Korteweg-deVries equation , 1967 .
[27] Nan Liu,et al. A Riemann–Hilbert approach for a new type coupled nonlinear Schrödinger equations , 2018 .
[28] Shou‐Fu Tian,et al. Long-time asymptotic behavior for the Gerdjikov-Ivanov type of derivative nonlinear Schrödinger equation with time-periodic boundary condition , 2017 .
[29] Deng-Shan Wang,et al. Integrable properties of the general coupled nonlinear Schrödinger equations , 2010 .
[30] Allan P. Fordy,et al. On the integrability of a system of coupled KdV equations , 1982 .
[31] Jonatan Lenells. Initial-boundary value problems for integrable evolution equations with 3×3 Lax pairs , 2012 .
[32] G. Biondini,et al. On the focusing non-linear Schrödinger equation with non-zero boundary conditions and double poles , 2017 .
[33] B. Guo,et al. Long-time asymptotics for the Sasa–Satsuma equation via nonlinear steepest descent method , 2018, Journal of Mathematical Physics.
[34] Wen-Xiu Ma,et al. Riemann–Hilbert problems andN-soliton solutions for a coupled mKdV system , 2018, Journal of Geometry and Physics.
[35] E. Fan,et al. Soliton solutions for a generalized Hirota–Satsuma coupled KdV equation and a coupled MKdV equation , 2001 .
[36] Shou‐Fu Tian,et al. Riemann–Hilbert problem for the modified Landau–Lifshitz equation with nonzero boundary conditions , 2019, Theoretical and Mathematical Physics.
[37] Hiroaki Ono. On a Modified Korteweg-de Vries Equation , 1974 .
[38] 闫振亚,et al. New explicit exact solutions for a generalized Hirota-Satsuma coupled KdV system and a coupled MKdV equation , 2003 .
[39] Zhenya Yan,et al. The Derivative Nonlinear Schrödinger Equation with Zero/Nonzero Boundary Conditions: Inverse Scattering Transforms and N-Double-Pole Solutions , 2020, Journal of Nonlinear Science.