{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,13]],"date-time":"2026-03-13T12:40:42Z","timestamp":1773405642225,"version":"3.50.1"},"reference-count":28,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>The Olver equation is governing a unidirectional model for describing long and small amplitude waves in shallow water waves. The solitary wave solutions of the Olver and fifth-order KdV equations can be obtained by using extended tanh and sech-tanh methods. The present results are describing the generation and evolution of such waves, their interactions, and their stability. Moreover, the methods can be applied to a wide class of nonlinear evolution equations. All solutions are exact and stable and have applications in physics.<\/jats:p>","DOI":"10.1155\/2014\/839485","type":"journal-article","created":{"date-parts":[[2014,3,25]],"date-time":"2014-03-25T04:04:05Z","timestamp":1395720245000},"page":"1-11","source":"Crossref","is-referenced-by-count":9,"title":["Stability Analysis for Travelling Wave Solutions of the Olver and Fifth-Order KdV Equations"],"prefix":"10.1155","volume":"2014","author":[{"given":"A. 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