Effect of exchange–correlation on quantum ion-acoustic soliton energy

The electrons exchange–correlation influence on the energy carried by the quantum ion-acoustic soliton (QIAS) is succinctly discussed. Starting from the one-dimensional quantum hydrodynamic model (in which the term of exchange–correlation for electrons is included), a deformed Korteweg–de Vries-like equation is derived. It is found that the QIAS energy experiences a depletion as a result of quantum diffraction. This quantum energy depletion may be counteracted by the exchange–correlation effect. The present work can be viewed as a first step towards the investigation of the exchange–correlation effects on the dynamics of solitary waves in quantum plasmas. •Energy of the QIA soliton is studied.•Electrons exchange–correlation effect is included.•A deformed K–dV equation is derived.•Energy depletion is observed.