Abstract
Zufiria’s higher-order Boussinesq type equations are studied by transforming them into solvable ordinary differential equations. Various families of their travelling wave solutions are generated, which include periodic wave, solitary wave, periodic-like wave, soliton-like wave, Jacobi elliptic function periodic wave, combined non-degenerative Jacobi elliptic function-like wave, Weierstrass elliptic function periodic and rational solutions. The presented approach can be also applied to nonlinear wave equations with variable coefficients in mathematical physics and mechanics.
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