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Invariant solutions of generalized Fisher-KPP equation
2019
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In this paper, we consider a hyperbolic generalized Fisher-KPP equation: $\varepsilon^2 u_{tt} + g(u) u_t = ( k(u) u_x )_x +f(u)$ where $f$, $g $ and $k$ are arbitrary smooth functions of variable $u$ and $\varepsilon$ is a speed parameter. We find invariant solutions by Lie method. Also, we study standard and weak conditional and approximate symmetries.
doi:10.6084/m9.figshare.8246264
fatcat:wx4cmsc6mbcpzncicbexkkzxd4