$T$	Temperature
Pr	Prandtl number
$C$	Solutal concentration
$M$	Hartmann number
$\Omega$	Nanoparticle volume fraction
$N_b$	Brownian motion parameter
Re	Reynolds number
$G_{rt}$	Thermal Grashof number
$G_{rF}$	Nanoparticle Grashof number
$Le$	Lewis number
$N_t$	Thermophoresis parameter
$Ln$	Nanofluid Lewis number
${\left(\rho c\right)}_f$	Heat capacity of fluid
${\left(\rho c\right)}_p$	Heat capacity of nanoparticle
$N_{CT}$	Soret parameter
$D_{TC}$	Dufour diffusively
$D_B$	Brownian diffusion coefficient
$D_T$	Thermophoretic diffusion coefficient
$D_s$	Solutal diffusively
$N_{TC}$	Dufour parameter
$G_{rc}$	Solutal Grashof number
$D_{CT}$	Soret diffusively
Small alphabets
$u$	Axial velocity
$v$	Transverse velocity
$k$	Thermal conductivity
$t$	Time
${\overline{a}}_1, {\overline{a}}_3$	Channel width
$p$	Pressure
$g$	Acceleration due to gravity
$b$	Wave amplitude
${\overline{a}}_2,$ ${\overline{a}}_4$	Wave amplitudes
$c$	Propagation of velocity
Greek symbols
${\rho }_f$	Fluid density
${\rho }_{f_0}$	Fluid density at $T_0$
${\rho }_p$	Nanoparticle mass density
${\left(\rho c\right)}_p$	Nanoparticle heat capacity
${\beta }_T$	Volumetric coefficient of thermal expansion
${\beta }_C$	Volumetric coefficient of solutal expansion
$\delta$	Wave number
$\Theta$	Temperature
${\Gamma }_1$	Velocity slip parameter
${\Gamma }_2$	Temperature slip parameter
${\Gamma }_3$	Concentration slip parameter
${\Gamma }_4$	Nanoparticles slip parameter
$\delta$	Wavelength
$\Psi$	Stream function
$\gamma$	Solutal concentration
$\omega$	Magnetic field inclination angle