I want to plot numerically and analytically in order to compare the linear density of bosonic atoms and the chemical potential in function of the non linear dissipation (φ) given by the relation(adsbygoogle = window.adsbygoogle || []).push({});

N(φ)=(αγ+∆)/(βsin(φ))

u(φ)=E+{(αγ+∆)/(tan(φ))}

where a=0.1, γ=0.641, Δ=0.0, φ=3.055

β=∫|ψ|^4dx with 0≤x≤pi and

ψ are eigenfunctions up to order 2 of the mathieu equation given by {(-d^2ψ/dx^2)-kcos(2x)}=Eψ with k=3.0

and E are the eigen values of the same mathieu equation up to order 2.

thank you for your help

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# Programming help non linear patterns

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