非均匀增益景观中的对称破缺和多峰孤子
Symmetry breaking and multi-hump solitons in inhomogeneous gain landscapes
摘要：
研究了具有双光子吸收和横向非均匀增益的立方非线性介质中一维孤子的形成。孤子的存在需要一定的阈值增益，而孤子的性质强烈依赖于放大通道的数目是奇数还是偶数。在前一种情况下，增益的增加导致对称性破缺，这通过干草叉分叉发生，并出现一个或几个共存的稳定的非对称模式。在放大通道数为偶数的情况下，我们只发现了非对称的稳定态。
英文摘要：
We address one-dimensional soliton formation in the cubic nonlinear medium with two-photon absorption and transversally inhomogeneous gain landscape consisting of a single or several amplifying channels. Existence of the solitons requires certain threshold gain while the properties of solitons strongly depend on whether the number of the amplifying channels is odd or even. In the former case an increase of the gain leads to a symmetry breaking, which occurs through the pitchfork bifurcation, and to emergence of a single or several co-existing stable asymmetric modes. In the case of even number of amplifying channels we have found only asymmetric stable states.
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