The method of nonlinearization of Lax pair for the classical integrable (1+1)-dimensional system has aroused strong interests in soliton theory, including mono-nonlinearization [1, 2, 3] and binaryâ€¦ (More)

Adjoint symmetry constraints are presented to manipulate binary nonlinearization, and shown to be a slight weaker condition than symmetry constraints in the case of Hamiltonian systems. Applicationsâ€¦ (More)

A generalized two-component model with peakon solutions is proposed in this paper. It allows an arbitrary function to be involved in as well as including some existing integrable peakon equations asâ€¦ (More)

Riemann theta functions are used to construct one-periodic and two-periodic wave solutions to a class of (2 + 1)-dimensional Hirota bilinear equations. The basis for the involved solution analysis isâ€¦ (More)

Under the Neumann constraints, each equation of the KdV hierarchy is decomposed into two finite dimensional systems, including the well-known Neumann model. Like in the case of the Bargmannâ€¦ (More)

A coupled AKNS-Kaup-Newell hierarchy of systems of soliton equations is proposed in terms of hereditary symmetry operators resulted from Hamiltonian pairs. Zero curvature representations andâ€¦ (More)

Adjoint symmetry constraints are presented to manipulate binary nonlinearization, and shown to be a slight weaker condition than symmetry constraints in the case of Hamiltonian systems. Applicationsâ€¦ (More)

K e y w o r d s C o u p l e d AKNS-Kaup-Newell spectral problem, Nonlinearization of Lax pair, Soliton equation, r-matrix. 1. I N T R O D U C T I O N Many coupled nonlinear evolution equations withâ€¦ (More)