首页|p D'Alembert wave, the Hirota conditions and soliton molecule of a new generalized KdV equation
p D'Alembert wave, the Hirota conditions and soliton molecule of a new generalized KdV equation
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NSTL
Elsevier
A (2+1)-dimensional new generalized Korteweg-de Vries (ngKdV) equation is educed from a bilinear differential equation by combining the logarithmic transformation u = 2(lnf)x. Depending on bilinear equation, we can compute the Hirota N-soliton condition and Nsoliton solutions. The D'Alembert type waves of the (2+1)-dimensional ngKdV equation are shown via introducing traveling-wave variables. By dealing with the matching bilinear form, the multiple solitary solution that should fulfill the velocity resonance condition is found in the egKdV equation. Some of the figures of two-soliton molecules and threesoliton molecules are obtained by determining the appropriate arguments. (c) 2021 Elsevier B.V. All rights reserved.
The (2+1)-dimensional new generalized KdVequationThe Hirota N-soliton conditionD'Alembert type wavesVelocity resonanceSoliton moleculesRATIONAL SOLUTIONS
NSTL
Elsevier
