For all positive integers n, the limit wave speed c0(h) of periodic traveling waves of the perturbed generalized KdV equation is monotonically increasing in the Hamiltonian parameter h, and at most one such wave exists for each speed.
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Monotonicity of limit wave speed of periodic traveling wave solutions via Abelian integral
For all positive integers n, the limit wave speed c0(h) of periodic traveling waves of the perturbed generalized KdV equation is monotonically increasing in the Hamiltonian parameter h, and at most one such wave exists for each speed.