Analytical wave solution for the generalized nonlinear seventh-order KdV dynamical equations arising in shallow water waves
Noufe H. Aljahdaly, Aly R. Seadawy, Wafaa A. Albarakati
Abstract
Finding solitary wave solutions of Nonlinear evolution equations are of great interest. The direct algebraic method was used here to find the analytic solutions to the generalized seventh-order KdV equation which plays an important role in engineering and mathematical physics.
Topics & Concepts
Korteweg–de Vries equationNonlinear systemOrder (exchange)Algebraic numberAlgebraic equationPhysicsWaves and shallow waterApplied mathematicsClassical mechanicsMathematical analysisMathematicsQuantum mechanicsThermodynamicsEconomicsFinanceNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Mathematical Physics Problems