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The DGLAP equation for the nonsinglet structure function F2NS(x,t)at LO is solved analytically at low xby converting it into a partial differential equation in two variables: Bjorken xand t  (t=ln(Q2/Λ2)and then solved by two methods: Lagrange’s auxiliary method and the method of characteristics. The two solutions are then compared with the available data on the structure function. The relative merits of the two solutions are discussed calculating the chi-square with the used data set

advances in high energy physics

Comparison of Analytical Solution of DGLAP Equations for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:msubsup><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mtext>NS</mml:mtext></mml:mrow></mml:msubsup><mml:mo stretchy="false">(</mml:mo><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>at Small<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:mi>x…

Comparison of Analytical Solution of DGLAP Equations forF2NS(x,t)at Smallx…