Exact traveling wave solutions of the Nikolaevskiy model for nonlinear seismic waves
Елена Николова, Mila Chilikova–Lubomirova
Abstract
We apply the modified method of simplest equation for obtaining exact solutions of a famous higher-order model evolution equation which describes propagation of seismic waves in a visco-elastic media with internal oscillators. The ordinary differential equation of Bernoulli is used as the simplest equation and two exact solutions of the studied equation are obtained. Particular cases of one of the obtained solutions are visualized.
Topics & Concepts
Bernoulli's principleTraveling waveExact differential equationBernoulli differential equationOrdinary differential equationExact solutions in general relativityMathematical analysisDifferential equationNonlinear systemPartial differential equationSeismic waveEvolution equationMathematicsPhysicsGeophysicsQuantum mechanicsThermodynamicsNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Mathematical Physics Problems