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An extended Korteweg-de Vries equation: Multi-soliton solutions and conservation laws

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Yıldırım, Yakup
Yaşar, Emrullah

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Springer

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In this paper, we consider an extended KdV equation, which arises in the analysis of several problems in soliton theory. First, we converted the underlying equation into the Hirota bilinear form. Then, using the novel test function method, abundant multi-soliton solutions were obtained. Second, we have performed some distinct methods to extended KdV equation for getting some exact wave solutions. In this regard, Kudryashov’s simplest equation methods were examined. Third, the local conservation laws are deduced by multiplier/homotopy methods. Finally, the graphical simulations of the exact solutions are depicted.

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Engineering, Mechanics, Conservation laws, Exact solutions, Extended kdv equation, Nonlinear evolution, Simplest equation, Wave solutions, Tanh method, Computation, Computational mechanics, Korteweg-de vries equation, Physical properties, Conservation law, Exact solution, Exact wave solutions, Graphical simulation, Hirota bilinear forms, Kdv equations, Multi-soliton solutions, Simplest equation method, Solitons

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Yıldırım, Y. ve Yaşar, E. (2017). ''An extended Korteweg-de Vries equation: Multi-soliton solutions and conservation laws''. Nonlinear Dynamics, 90(3), 1571-1579.

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