complete discrimination system for polynomial method
Zakharov-Kuznetsov-modified equal-width equation
Classification of single traveling wave solutions to Zakharov-Kuznetsov-modified equal-width equation
Consider the partial differential equation NEWLINE\[NEWLINEu_t+ a(u^3)_x+ (bu_{xt}+ cu_{yy})_x= 0.NEWLINE\]NEWLINE The author studies the existence of traveling waves of the form NEWLINE\[NEWLINEu(t,x,y)= U(k_1x+ k_2 y+ k_3 t).NEWLINE\]NEWLINE He derives an explicit expression for \(U(\xi)\) and gives a classification in dependence on the considered parameters.
scientific article; zbMATH DE number 6330449