Journal
NONLINEAR DYNAMICS
Volume 80, Issue 1-2, Pages 387-396Publisher
SPRINGER
DOI: 10.1007/s11071-014-1876-1
Keywords
Solitary waves; Shock waves; Integrability
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This paper applies three forms of integration tools to integrate KdV6 equation that represents a nonholonomic deformation of the well-known KdV equation, which models shallow-water dynamics. The three integration algorithms applied are Kudryashov's method, extended tanh scheme as well as G'/G-expansion mechanism. These tools lead to solitary waves, shock waves as well as singular periodic solutions to the equation. The corresponding integrability criteria, also known as constraint conditions, naturally emerge from the analysis of the problem.
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