I have to solve this PDE analytically. I am giving the input as shown in the image but when I am moving forward, there is no solution generated. Why? Do I need to give any more input?!
Mathematica Screenshot
Equation =
D[\[Psi][x, y], {x, 2}] +
D[\[Psi][x, y], {y, 2}] == \[Kappa]^2*((2*Sinh[\[Psi][x, y]])/(
1 + \[Nu]*Sinh[\[Psi][x, y]]^2));
DSolve[Equation, \[Psi][x, y], {x, y}]
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int = Integrate[1/(x^3 - 1), x];
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When Mathematica returns the input as the output, it means that the calculation returned unevaluated. This often means that the function does not have the methods available to solve the problem symbolically, or it is mathematically impossible to obtain a symbolic solution (not all sums, integrals, or differential equations have symbolic solutions after all).
So what if I try NDSolve command with certain boundary conditions?
