DOI10.1088/0305-4470/34/5/305zbMath0978.37054OpenAlexW1982989780MaRDI QIDQ2716218
Hui-Hui Dai, Ce Wen Cao, Xiangguo Geng
Publication date: 6 June 2001
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/34/5/305
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)
KdV equations (Korteweg-de Vries equations) (35Q53)
Almost and pseudo-almost periodic solutions to PDEs (35B15)
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)
Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)
Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)
Decomposition and straightening out of the coupled mixed nonlinear Schrödinger flows,
Exact traveling wave solutions to the \((2 + 1)\)-dimensional Jaulent-Miodek equation,
Four \((2 + 1)\)-dimensional integrable extensions of the Kadomtsev-Petviashvili equation,
A study of an extended generalized \((2+1)\)-dimensional Jaulent-Miodek equation,
Quasi-periodic waves of the \(\mathcal N=1\) supersymmetric modified Korteweg-de Vries equation,
New explicit traveling wave solutions for three nonlinear evolution equations,
Multi-soliton and Pfaffian solutions of a \((2+1)\)-dimensional nonlinear evolution equation via the Jaulent-Miodek hierarchy,
Darboux transformation and Hamiltonian structure for the Jaulent-Miodek hierarchy,
Exotic wave patterns in Riemann problem of the high‐order Jaulent–Miodek equation: Whitham modulation theory,
A hierarchy of generalized Jaulent–Miodek equations and their explicit solutions,
N-soliton solution, generalized double Wronskian determinant solution and rational solution for a (2+1)-dimensional nonlinear evolution equation,
A KIND OF EXPLICIT QUASI-PERIODIC SOLUTION AND ITS LIMIT FOR THE TODA LATTICE EQUATION,
Multiple kink solutions and multiple singular kink solutions for (2+1)-dimensional nonlinear models generated by the Jaulent-Miodek hierarchy,
Symmetry reductions and exact solutions of the \((2+1)\)-dimensional Jaulent-Miodek equation,
Algebro-geometric solutions to a hierarchy of (1 + 1)-dimensional and two new (2 + 1)-dimensional nonlinear evolution equations,
Soliton solutions and Bäcklund transformations of a (2+1)-dimensional nonlinear evolution equation via the Jaulent-Miodek hierarchy,
Further results about seeking for the exact solutions of the nonlinear \((2 + 1)\)-dimensional Jaulent-Miodek equation,
Quasi-periodic solutions for an extension of AKNS hierarchy and their reductions,
Neumann type integrable reduction for nonlinear evolution equations in 1+1 and 2+1 dimensions,
Rational solutions for a \((2+1)\)-dimensional nonlinear model in water waves generated by the Jaulent-Miodek hierarchy,
VARIABLE SEPARATION AND ALGEBRAIC-GEOMETRIC SOLUTIONS OF MODIFIED TODA LATTICE EQUATION,
Variable separation and algebro-geometric solutions of the Gerdjikov-Ivanov equation,
A finite-dimensional integrable system related to a new coupled KdV hierarchy,
Multiple soliton solutions for some (3+1)-dimensional nonlinear models generated by the Jaulent-Miodek hierarchy,
Quasi-periodic wave solution and asymptotic behavior for the \((2+1)\)-dimensional Toda lattice equation,
Algebro-geometric solutions for some \((2+1)\)-dimensional discrete systems,
Bifurcation of traveling wave solutions for \((2+1)\)-dimensional nonlinear models generated by the Jaulent-Miodek hierarchy,
Networked systems with incomplete information,
Multiple soliton solutions for (2 + 1)-dimensional Sawada-Kotera and Caudrey-Dodd-Gibbon equations,
Quasi-periodic solutions of the negative-order Jaulent–Miodek hierarchy,
Four \((2+1)\)-dimensional integrable extensions of the KdV equation: multiple-soliton and multiple singular soliton solutions,
A generalized coupled Korteweg–de Vries hierarchy, bi-Hamiltonian structure, and Darboux transformation,
Solitary wave solutions of nonlinear integro-partial differential equations of \((2 + 1)\)-dimensional and its models,
Quasi-periodic solutions for some \(2+1\)-dimensional discrete models,
Quasiperiodic solutions of Jaulent-Miodek equations with a negative flow
