具有任意非线性的耦合非线性大质量Thirring模型及耦合Soler模型中的孤波
Solitary waves in the coupled nonlinear massive Thirring as well as coupled Soler models with arbitrary nonlinearity
AI总结：
受可积耦合大质量Thirring模型启发，本文提出新的耦合Soler模型，将二者推广至任意非线性参数并求得精确孤波解，发现其电荷密度与先前单场解相关，且非相对论约化解与单分量场解成正比。
摘要：
受Basu-Mallick等人近期引入可积耦合大质量Thirring模型的启发，我们引入了一个新的耦合Soler模型。进一步，我们将耦合大质量Thirring模型和耦合Soler模型推广至任意非线性参数$κ$，并在两种情况下获得了精确的孤波解。值得注意的是，在这两种模型中，由于电荷和能量守恒定律，我们求得的精确解似乎不依赖于参数化方式，且这些解的电荷密度与先前由本文部分作者求得的单场解的电荷密度相关。在两种模型中，方程的非相对论约化均得出相同结论，即这些解与单分量场情况下的解成正比。
英文摘要：
Motivated by the recent introduction of an integrable coupled massive Thirring model by Basu-Mallick et al, we introduce a new coupled Soler model. Further we generalize both the coupled massive Thirring and the coupled Soler model to arbitrary nonlinear parameter $κ$ and obtain exact solitary wave solutions in both cases. Remarkably, it turns out that in both the models, because of the conservation laws of charge and energy, the exact solutions we find seem to not depend on how we parameterize them, and the charge density of these solutions is related to the charge density of the single field solutions found earlier by a subset of the present authors. In both the models, a nonrelativistic reduction of the equations leads to the same conclusion that the solutions are proportional to those found in the one component field case.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
