We present a new method for studying the interaction of solitons for non-integrable Korteweg-de Vries (KdV) type equations with small dispersion and test this method for the KdV equation.
Vladimir G. Danilov +1 more
doaj
Explicit solutions to the semi-discrete modified KdV equation and motion of discrete plane curves [PDF]
Jun-ichi Inoguchı +3 more
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Application of linear combination between cubic B-spline collocation methods with different basis for solving the KdV equation [PDF]
K. R. Raslan +2 more
openalex
Error Analysis and Numerical Simulation of Fractional KdV Burger's Differential Equations via 3-scale Haar wavelets [PDF]
Shitesh Shukla, Mukesh Kumar
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A trigonometric quintic B-spline collocation technique for the fifth-order KdV–Burgers–Fisher equation [PDF]
Berat Karaağaç +3 more
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Abundant different types of soliton solutions for fractional modified KdV equation using auxiliary equation method. [PDF]
Hussain A +5 more
europepmc +1 more source
The Coupled Kuramoto-Sivashinsky-KdV Equations for Surface Wave in Multilayered Liquid Films [PDF]
Maomao Cai +2 more
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Modulation instability, bifurcation analysis, and ion-acoustic wave solutions of generalized perturbed KdV equation with M-fractional derivative. [PDF]
Alaoui MK +5 more
europepmc +1 more source
Nonlinearization of the KdV-type and mKdV-type bilinear equations [PDF]
Xin Zhang, Jin Liu, Dajun Zhang
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