Multiple-scale analysis: Difference between revisions

Revision as of 07:50, 31 January 2024

Revision as of 07:55, 31 January 2024

Line 68:

<math display="block">-3\, A^2\, A^\ast - 2\, i\, \frac{dA}{dt_1} = 0.</math>,

i.e the amplitude equation:

<math display="block"> 2 i\, \frac{dA}{dt_1} = -3 \,frac{3}{2} |A|^2\, A \, .</math>

The solution to the solvability condition, also satisfying the initial conditions {{math|1=''y''(0) = 1}} and {{math|1=''dy''/''dt''(0) = 0}}, is: