Nonlinear scalar equation in field theory

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ekemery18
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Homework Statement:
Please help me, i have to find the dynamical equations of a field associated with the action (12) with alpha a positive constant
Relevant Equations:
We know that the action of a particle which is interacting with this scalar field is (13)
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DeepinScreenshot_select-area_20200505133805.png

Thank you very much
 

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