A note on solitary travelling-wave solutions to the transformed reduced Ostrovsky equation
نویسندگان
چکیده
منابع مشابه
Periodic and Solitary Travelling-Wave Solutions of an Extended Reduced Ostrovsky Equation
Periodic and solitary travelling-wave solutions of an extended reduced Ostrovsky equation are investigated. Attention is restricted to solutions that, for the appropriate choice of certain constant parameters, reduce to solutions of the reduced Ostrovsky equation. It is shown how the nature of the waves may be categorized in a simple way by considering the value of a certain single combination ...
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An alternative to the Parkes’ approach [SIGMA 4 (2008), 053, 17 pages] is suggested for the solutions categorization to the extended reduced Ostrovsky equation (the exROE in Parkes’ terminology). The approach is based on the application of the qualitative theory of differential equations which includes a mechanical analogy with the point particle motion in a potential field, the phase plane met...
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The bifurcation method of planar systems and simulation method of differential equations are employed to investigate loop soliton solutions of the reduced Ostrovsky equation (ROE). The parameter representation of loop soliton solutions of the ROE are obtained. The planar graphs of the loop soliton solutions is shown under the some parameter. These results are supplement to investigate the ROE.
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ژورنال
عنوان ژورنال: Communications in Nonlinear Science and Numerical Simulation
سال: 2010
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2009.11.016