FROBENIUS INTEGRABLE DECOMPOSITIONS FOR TWO CLASSES OF NONLINEAR EVOLUTION EQUATIONS WITH VARIABLE COEFFICIENTS
DOI10.1142/S0217984909019764zbMath1185.37151OpenAlexW1981857067MaRDI QIDQ5192996
Fucai You, Jiao Zhang, Tie-cheng Xia
Publication date: 10 August 2009
Published in: Modern Physics Letters B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0217984909019764
nonlinear evolution equationssoliton equationsvariable coefficientsFrobenius integrable decompositionsBacklund transformations
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) Soliton equations (35Q51) Initial value problems for nonlinear higher-order PDEs (35G25) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
Related Items (4)
Cites Work
- Partial differential equations possessing Frobenius integrable decompositions
- Time-space integrable decompositions of nonlinear evolution equations
- Wronskians, generalized Wronskians and solutions to the Korteweg-de Vries equation
- Binary symmetry constraints of N-wave interaction equations in 1+1 and 2+1 dimensions
- Binary constrained flows and separation of variables for soliton equations
- Soliton solutions of the Korteweg de Vries and the Kadomtsev-Petviashvili equations: the Wronskian technique
- Separation of variables for soliton equations via their binary constrained flows
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