标题： 孤立子理论中守恒电荷的简单公式 显示英文标题

标题： A simple formula for the conserved charges of soliton theories

摘要： 我们提出一个简单的公式，用于求解孤子理论中的所有守恒电荷，该公式在真空轨道下的编织变换群的解上进行计算。 出于教学原因，我们对正弦-戈登模型的情况进行了显式计算，该模型被用作孤子理论的原型。 我们证明了对于真空轨道上的所有解，能量和动量都是边界项。 该轨道包括几乎所有感兴趣的物理解，即孤子、多孤子、呼吸子以及孤子和呼吸子的组合。 也给出了mKdV方程的显例。 显示英文摘要

摘要： We present a simple formula for all the conserved charges of soliton theories, evaluated on the solutions belonging to the orbit of the vacuum under the group of dressing transformations. For pedagogical reasons we perform the explicit calculations for the case of the sine-Gordon model, taken as a prototype of soliton theories. We show that the energy and momentum are boundary terms for all the solutions on the orbit of the vacuum. That orbit includes practically all the solutions of physical interest, namely solitons, multi-solitons, breathers, and combinations of solitons and breathers. The example of the mKdV equation is also given explicitly.