Systems of nonlinear partial differential equations
The decomposition method [see the author ''Stochastic systems'' (1983; Zbl 0523.60056)] is applied to investigate the solution of the nonlinear system \[ u_ t=uu_ x+vu_ y,\quad v_ t=uv_ x+vv_ y, \] u(x,y,0)\(=f(x,y)\), \(v(x,y,0)=g(x,y)\).
scientific article; zbMATH DE number 3979583