2.15.27 Sinh Gordon \( u_{xt} = \sinh u\)

problem number 136

Added December 27, 2018.

Taken from https://en.wikipedia.org/wiki/List_of_nonlinear_partial_differential_equations

Sinh Gordon. Solve for \(u(x,t)\) \[ u_{xt} = \sinh u \]

Mathematica ✗

ClearAll["Global`*"]; 
pde =  D[u[x, t], x, t] == Sinh[u[x, t]]; 
sol =  AbsoluteTiming[TimeConstrained[DSolve[pde, u[x, t], {x, t}], 60*10]];
 

Failed

Maple ✗

restart; 
pde := diff(u(x,t),x,t)=sinh(u(x,t)); 
cpu_time := timelimit(60*10,CodeTools[Usage](assign('sol',pdsolve(pde,u(x,t))),output='realtime'));
 

sol=()

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