Transformations for a generalized variable-coefficient Korteweg de Vries model from blood vessels, Bose Einstein condensates, rods and positons with symbolic computation

摘要: Abstract The variable-coefficient Korteweg–de Vries (KdV)-typed models, although often hard to be studied, are of current interest in describing various real situations. Under investigation hereby is a large class the generalized KdV models with external-force and perturbed/dissipative terms. Recent examples this include those blood vessels circulatory system, arterial dynamics, trapped Bose–Einstein condensates related matter waves nonlinear atom optics, Bose gas impenetrable bosons longitudinal confinement, rods compressible hyperelastic material semiconductor heterostructures positonic phenomena. In Letter, based on symbolic computation, four transformations proposed from either cylindrical or standard equation when respective constraint holds. constraints have nothing do term. transformations, such analytic solutions as Airy, Hermit Jacobian elliptic functions can obtained, including solitonic profiles. roles for perturbed terms play observed discussed. Investigations performed through properties equations.