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Auto-Bäcklund transformation and exact analytical solutions for the Kupershmidt equation. (English) Zbl 1038.35087
Summary: The homogeneous balance method [M. L. Wang, Phys. Lett. A 199, 169–172 (1995; Zbl 1020.35528)] is improved and applied to the Kupershmidt equation. As a result, some families of exact analytical solutions are derived.
MSC:
35Q51 Soliton equations
35C05 Solutions to PDEs in closed form
37K35 Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems
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