Dissipative quintessence and its cosmological implications

We consider a generalization of the quintessence type scalar field cosmological models, by adding multiplicative dissipative term in Lagrangian, which generally is represented an exponential form. The generalized Klein-Gordon equation obtained general covariant form Riemann geometry, from variational principle with help Euler-Lagrange equations. energy-momentum tensor also and its properties are discussed detail. Several applications formalism presented for case Friedmann-Lema\^{\i}tre-Robertson-Walker metric. Friedmann equations presence specific dissipation, dissipation exponent as time integral product Hubble function, function describing field. For this reduce to system differential-integral equations, which, means some appropriate transformation, can be redshift space first order dynamical system. corresponding different choices potential, considered values model parameters evolution (scale factor, deceleration parameter, effective density pressure field, parameter dark energy state, respectively) detail using both analytical numerical techniques. A comparison observational data predictions standard $\mathrm{\ensuremath{\Lambda}}\mathrm{CDM}$ paradigm each model. In large limit describes accelerating universe, negative induced effects associated Accelerated expansion absence potential possible, kinetic dominating expansionary evolution. models describe well data, free trial error method. results show offers possibility replacing constant explaining recent data.