Inverse scattering transforms for the focusing and defocusing mKdV equations with nonzero boundary conditions
暂无分享,去创建一个
[1] Sitai Li,et al. Inverse scattering transform and soliton solutions for square matrix nonlinear Schrödinger equations with non-zero boundary conditions , 2017 .
[2] M. A. Alejo. Nonlinear stability of Gardner breathers , 2017, 1705.04206.
[3] G. Biondini,et al. On the focusing non-linear Schrödinger equation with non-zero boundary conditions and double poles , 2017 .
[4] M. Ablowitz,et al. Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions , 2016, 1612.02726.
[5] B. Prinari,et al. Inverse scattering transform for the defocusing nonlinear Schrödinger equation with fully asymmetric non-zero boundary conditions , 2016 .
[6] Gino Biondini,et al. The Three-Component Defocusing Nonlinear Schrödinger Equation with Nonzero Boundary Conditions , 2015, 1511.02885.
[7] G. Kovačič,et al. The focusing Manakov system with nonzero boundary conditions , 2015 .
[8] B. Prinari,et al. The Three-Component Defocusing Nonlinear Schrödinger Equation with Nonzero Boundary Conditions , 2015, Communications in Mathematical Physics.
[9] Pierre Germain,et al. Asymptotic stability of solitons for mKdV , 2015, 1503.09143.
[10] C. van der Mee. Journal of Nonlinear Mathematical Physics Inverse Scattering Transform for the Discrete Focusing Nonlinear Schrödinger Equation with Nonvanishing Boundary Conditions Inverse Scattering Transform for the Discrete Focusing Nonlinear Schrödinger Equation with Nonvanishing Boundary Conditions , 2022 .
[11] Gino Biondini,et al. Inverse Scattering Transform for the Defocusing Manakov System with Nonzero Boundary Conditions , 2015, SIAM J. Math. Anal..
[12] C. Mee,et al. The inverse scattering transform for the focusing nonlinear Schrödinger equation with asymmetric boundary conditions , 2014 .
[13] Gino Biondini,et al. Inverse scattering transform for the focusing nonlinear Schrödinger equation with nonzero boundary conditions , 2014 .
[14] Gino Biondini,et al. On the Spectrum of the Dirac Operator and the Existence of Discrete Eigenvalues for the Defocusing Nonlinear Schrödinger Equation , 2014 .
[15] Federica Vitale,et al. The Inverse Scattering Transform for the Defocusing Nonlinear Schrödinger Equations with Nonzero Boundary Conditions , 2013 .
[16] M. A. Alejo. FOCUSING mKdV BREATHER SOLUTIONS WITH NONVANISHING BOUNDARY CONDITION BY THE INVERSE SCATTERING METHOD , 2011, 1110.3931.
[17] Gino Biondini,et al. Inverse Scattering Transform for the Multi‐Component Nonlinear Schrödinger Equation with Nonzero Boundary Conditions , 2011 .
[18] F. Demontis. Exact solutions of the modified Korteweg-de Vries equation , 2010, 1010.1651.
[19] Gino Biondini,et al. Inverse scattering transform for the integrable discrete nonlinear Schrödinger equation with nonvanishing boundary conditions , 2007 .
[20] Gino Biondini,et al. Inverse scattering transform for the vector nonlinear Schrödinger equation with nonvanishing boundary conditions , 2006 .
[21] He Jingsong,et al. Hamiltonian Formalism of mKdV Equation with Non-vanishing Boundary Values , 2005 .
[22] S. Dai,et al. Stabilization analysis and modified Korteweg-de Vries equation in a cooperative driving system. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.
[23] K. Lonngren,et al. On the propagation of nonlinear solitary waves in a distributed Schottky barrier diode transmission line , 2001 .
[24] A. H. Khater,et al. Bäcklund Transformations and Exact Solutions for Alfvén Solitons in a Relativistic Electron–Positron Plasma , 1998 .
[25] M. Agop,et al. Oscillation Modes of Slag-Metallic Bath Interface , 1998 .
[26] S. Sasa,et al. Kink soliton characterizing traffic congestion. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[27] L. Pratt,et al. Predicting eddy detachment for an equivalent barotropic thin jet , 1994 .
[28] Hiroaki Ono,et al. Soliton Fission in Anharmonic Lattices with Reflectionless Inhomogeneity , 1992 .
[29] M. Ablowitz,et al. Solitons, Nonlinear Evolution Equations and Inverse Scattering , 1992 .
[30] P. Deift,et al. A steepest descent method for oscillatory Riemann-Hilbert problems , 1992, math/9201261.
[31] S. Matsutani,et al. Reflectionless Quantum Wire , 1991 .
[32] Xin Zhou,et al. Direct and inverse scattering transforms with arbitrary spectral singularities , 1989 .
[33] P. Fung,et al. Hamiltonian formulation of the inverse scattering method of the modified KdV equation under the non-vanishing boundary condition u(x, t) to b as x to +or- infinity , 1988 .
[34] S. Kawamoto. An Exact Transformation from the Harry Dym Equation to the Modified KdV Equation , 1985 .
[35] P. Fung,et al. Modified KdV solitons with non-zero vacuum parameter obtainable from the ZS-AKNS inverse method , 1984 .
[36] D. Levi,et al. The Bäcklund transformations for nonlinear evolution equations which exhibit exotic solitons , 1984 .
[37] Kenji Ohkuma,et al. Multiple-Pole Solutions of the Modified Korteweg-de Vries Equation , 1982 .
[38] Hiroaki Ono. On a Modified Korteweg-de Vries Equation , 1974 .
[39] A. B. Shabat,et al. Interaction between solitons in a stable medium , 1973 .
[40] M. Ablowitz,et al. Nonlinear-evolution equations of physical significance , 1973 .
[41] M. Wadati,et al. The Exact Solution of the Modified Korteweg-de Vries Equation , 1972 .
[42] Hiroaki Ono,et al. Weak Non-Linear Hydromagnetic Waves in a Cold Collision-Free Plasma , 1969 .
[43] C. S. Gardner,et al. Korteweg‐de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion , 1968 .
[44] C. S. Gardner,et al. Method for solving the Korteweg-deVries equation , 1967 .
[45] D. Baldwin. Dispersive shock wave interactions and two-dimensional ocean-wave soliton interactions , 2013 .
[46] Norman J. Zabusky,et al. Soliton , 2010, Scholarpedia.
[47] A. Fokas,et al. Complex Variables: Introduction and Applications , 1997 .
[48] Wolfgang K. Schief,et al. An infinite hierarchy of symmetries associated with hyperbolic surfaces , 1995 .
[49] Leon A. Takhtajan,et al. Hamiltonian methods in the theory of solitons , 1987 .
[50] V. Zakharov,et al. Exact Theory of Two-dimensional Self-focusing and One-dimensional Self-modulation of Waves in Nonlinear Media , 1970 .
[51] Robert M. Miura,et al. Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation , 1968 .