Bell-polynomial application and multi-soliton solutions for the generalized variable-coefficient Drinfeld–Sokolov–Satsuma–Hirota system in fluids and plasmas

摘要: With symbolic computation, the generalized variable-coefficient Drinfeld–Sokolov–Satsuma–Hirota (gvcDSSH) system in fluids and plasmas is investigated. Under constraint conditions on variable coefficients obtained via Painleve test, binary Bell polynomials are applied to gvcDSSH for its bilinear forms multi-soliton solutions. different damping, dispersive dissipative given, solutions of illustrated discussed. (i) The interactions between/among solitons elastic; (ii) damping coefficient can only affect amplitude one field, while it has no effect other; (iii) velocity characteristic line each soliton be affected by coefficients.