Darboux transformation and Hamiltonian structure for the Jaulent-Miodek hierarchy
暂无分享,去创建一个
Yan Jiang | Bo Tian | Yu-Shan Xue | Wen-Bao Ai | B. Tian | Yan Jiang | Y. Xue | Wen-Bao Ai | Yu-Shan Xue
[1] Ying Liu,et al. Wronskian solutions and integrability for a generalized variable-coefficient forced Korteweg–de Vries equation in fluids , 2012 .
[2] Ying Liu,et al. Soliton management for a variable-coefficient modified Korteweg-de Vries equation. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.
[3] Ying Liu,et al. Solitonic propagation and interaction for a generalized variable-coefficient forced Korteweg-de Vries equation in fluids. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.
[4] Yi-Tian Gao,et al. Amplification of nonautonomous solitons in the Bose-Einstein condensates and nonlinear optics , 2011 .
[5] Yi-Tian Gao,et al. Odd-Soliton-Like Solutions for the Variable-Coefficient Variant Boussinesq Model in the Long Gravity Waves , 2010 .
[6] Xi-Xiang Xu. An integrable coupling family of Merola-Ragnisco-Tu lattice systems, its Hamiltonian structure and related nonisospectral integrable lattice family , 2010 .
[7] P. Bracken. Integrable systems of partial differential equations determined by structure equations and Lax pair , 2009, 0907.0266.
[8] Ying Liu,et al. Bound vector solitons and soliton complexes for the coupled nonlinear Schrödinger equations. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.
[9] Yi-Tian Gao,et al. Inelastic interactions and double Wronskian solutions for the Whitham–Broer–Kaup model in shallow water , 2009 .
[10] Fajun Yu,et al. Integrable coupling system of fractional soliton equation hierarchy , 2009 .
[11] Abdul-Majid Wazwaz,et al. Multiple kink solutions and multiple singular kink solutions for (2+1)-dimensional nonlinear models generated by the Jaulent–Miodek hierarchy , 2009 .
[12] Hong-Xiang Yang,et al. Soliton solutions by Darboux transformation for a Hamiltonian lattice system , 2009 .
[13] V. Vasumathi,et al. Perturbed soliton-like molecular excitations in a deformed DNA chain , 2008 .
[14] D. Kaup,et al. Inverse scattering for an AKNS problem with rational reflection coefficients , 2008 .
[15] Soliton solutions for two nonlinear partial differential equations using a Darboux transformation of the Lax pairs. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.
[16] Two hierarchies of multi-component Kaup–Newell equations and theirs integrable couplings , 2008 .
[17] P. Santini,et al. The remarkable relations among PDEs integrable by the inverse spectral transform method, by the method of characteristics and by the Hopf–Cole transformation , 2008 .
[18] Lingjun Zhou. Darboux transformation for the non-isospectral AKNS hierarchy and its asymptotic property , 2007, 0710.0430.
[19] T. Fukuyama,et al. Gauge transformations and symmetries of integrable systems , 2007, 0705.3530.
[20] Jinping Tian,et al. Exact bright soliton solution for a family of coupled higher-order nonlinear Schrödinger equation in inhomogeneous optical fiber media , 2007 .
[21] Yufeng Zhang,et al. A multi-component matrix loop algebra and the multi-component Kaup–Newell (KN) hierarchy, as well as its integrable coupling system , 2007 .
[22] Jie Ji,et al. Two types of new integrable decompositions of the Kaup–Newell equation , 2006 .
[23] Deng-yuan Chen,et al. Soliton solutions to the 3rd nonisospectral AKNS system , 2006 .
[24] C. Dai,et al. New solitons for the Hirota equation and generalized higher-order nonlinear Schrödinger equation with variable coefficients , 2006 .
[25] K. Porsezian,et al. Optical solitons in some deformed MB and NLS¿MB equations , 2006 .
[26] Darboux transformation and soliton solutions for the Boiti?Pempinelli?Tu (BPT) hierarchy , 2005 .
[27] J. Garnier,et al. Dynamical stabilization of solitons in cubic-quintic nonlinear Schrödinger model. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.
[28] M. P. Barnett,et al. Symbolic calculation in chemistry: Selected examples , 2004 .
[29] A. Peacock,et al. Exact self-similar solutions of the generalized nonlinear Schrödinger equation with distributed coefficients. , 2003, Physical review letters.
[30] Cosymplectic reduction of constrained systems with symmetry , 2002 .
[31] Zhenya Yan,et al. Symbolic computation and new families of exact soliton-like solutions to the integrable Broer-Kaup (BK) equations in (2+1)-dimensional spaces , 2001 .
[32] Xianguo Geng,et al. Quasi-periodic solutions for some (2 + 1)-dimensional integrable models generated by the Jaulent-Miodek hierarchy , 2001 .
[33] Engui Fan,et al. Integrable evolution systems based on Gerdjikov-Ivanov equations, bi-Hamiltonian structure, finite-dimensional integrable systems and N-fold Darboux transformation , 2000 .
[34] Hirokazu Kubota,et al. Recent progress in soliton transmission technology. , 2000, Chaos.
[35] X. Hu,et al. Two integrable differential-difference equations exhibiting soliton solutions of the Kaup–Kupershmidt equation type , 2000 .
[36] Hie-Tae Moon,et al. Soliton-kink interactions in a generalized nonlinear Schrödinger system , 2000 .
[37] W. Xue,et al. The bi-Hamiltonian structures of some new Lax integrable hierarchies associated with 3 × 3 matrix spectral problems , 1997 .
[38] Yehuda B. Band,et al. Optical Solitary Waves in the Higher Order Nonlinear Schrödinger Equation , 1996, patt-sol/9612004.
[39] Dengyuan Chen,et al. Lie algebraic structures of (1+1)‐dimensional Lax integrable systems , 1996 .
[40] K. Porsezian. Generalized x-dependent modified Korteweg-de Vries equation: Painlevé analysis, Bäcklund transformation and soliton solutions , 1996 .
[41] Yunbo Zeng,et al. Separability and dynamical r-matrix for the constrained flows of the Jaulent-Miodek hierarchy , 1995, solv-int/9509009.
[42] Wen-Xiu Ma,et al. An explicit symmetry constraint for the Lax pairs and the adjoint Lax pairs of AKNS systems , 1994 .
[43] Nakayama,et al. Integrability and the motion of curves. , 1992, Physical review letters.
[44] V. Matveev,et al. Darboux Transformations and Solitons , 1992 .
[45] Tu Gui-Zhang,et al. On Liouville integrability of zero-curvature equations and the Yang hierarchy , 1989 .
[46] A. Fokas,et al. Recursion operators and bi-Hamiltonian structures in multidimensions. I , 1988 .
[47] C. Thompson,et al. Integrable mappings and soliton equations , 1988 .
[48] M. Tabor,et al. A unified approach to Painleve´ expansions , 1987 .
[49] D. Levi,et al. A NEW NONLINEAR SCHRODINGER EQUATION, ITS HIERARCHY AND N SOLITON SOLUTIONS , 1984 .
[50] R. Meinel,et al. General N-soliton solution of the AKNS class on arbitrary background , 1984 .
[51] M. Tabor,et al. The Painlevé property for partial differential equations , 1983 .
[52] Kiyoshi Sogo,et al. GAUGE TRANSFORMATIONS IN SOLITON THEORY , 1983 .
[53] B. Konopelchenko. On the adjoint representation for spectral problems and its relation with the Akns-method, gauge transformations and Riemann problem , 1983 .
[54] C. Laddomada,et al. Bäcklund transformations for the jaulent-miodek equations , 1982 .
[55] Athanassios S. Fokas,et al. Symplectic structures, their B?acklund transformation and hereditary symmetries , 1981 .
[56] L. Alonso,et al. Hamiltonian formulation for the Jaulent-Miodek family of nonlinear evolution equations , 1980 .
[57] Kimiaki Konno,et al. New Integrable Nonlinear Evolution Equations , 1979 .
[58] Franco Magri,et al. A Simple model of the integrable Hamiltonian equation , 1978 .
[59] David J. Kaup,et al. An exact solution for a derivative nonlinear Schrödinger equation , 1978 .
[60] V. Arnold. Mathematical Methods of Classical Mechanics , 1974 .
[61] M. Ablowitz,et al. Nonlinear-evolution equations of physical significance , 1973 .
[62] Ralph Abraham,et al. Foundations Of Mechanics , 2019 .
[63] S. Mccall,et al. Self-Induced Transparency by Pulsed Coherent Light , 1967 .