A Kirchhoff equation with infinite conservation laws

preprint2026arXivOpen access

We show here that the quasilinear Kirchhoff-Pokhozhaev equation $u_{tt}-\big(a\int_{\mathbb{R}^n} |\nabla u |^2 dx + b \big)^{-2} Δu = 0,$ with $a\neq0$ , admits conservation laws of all orders.

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A Kirchhoff equation with infinite conservation laws

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