## Approximate traveling wave solutions for coupled Whitham-Broer-Kaup shallow water.(English)Zbl 1372.76078

Summary: Homotopy Perturbation Method (HPM) was used for computing the Coupled Whitham-Broer-Kaup Shallow Water. Then HPM solution verified against exact one and compared with another approximate solution, the Homotopy Analysis Method (HAM). The existent error of the methods computed and convergence of the HPM solution has presented. Results reveal that HPM is an effective and powerful in solving the non-linear systems in mechanic, analytically.

### MSC:

 76M25 Other numerical methods (fluid mechanics) (MSC2010) 76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction 35C07 Traveling wave solutions 35Q35 PDEs in connection with fluid mechanics
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### References:

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