... is established by deriving the Hirota bilinear form, Bäcklund transformation, Lax pair and infinitely many conservation laws via the Hirota bilinear method and its close connection with Bell polynomial theory. In addition, the Hirota bilinear framework, combined with the quadratic test function method and hybrid...

... bilinear form Homoclinic breather wave Rogue wave Multi-soliton wave where u(x,y,t) is the long wave component, ψ(x,y,t) is the complex short wave component and κ is a real constant. Equation (1) may be regarded either as a (system of the KP equation) generalization of the KP...