THE PAINLEVÉ INTEGRABILITY AND N-SOLITONIC SOLUTION IN TERMS OF THE WRONSKIAN DETERMINANT FOR A VARIABLE-COEFFICIENT VARIANT BOUSSINESQ MODEL OF NONLINEAR WAVES
DOI10.1142/S0217979209052674zbMath1180.37110OpenAlexW2003110447MaRDI QIDQ3401846
Xiang-Hua Meng, Cheng Zhang, Xin Yu, Ming-Zhen Wang, Tao Xu, Qian Feng, Yi-Tian Gao
Publication date: 1 February 2010
Published in: International Journal of Modern Physics B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0217979209052674
nonlinear wavesbilinear formBäcklund transformationPainlevé analysisWronskian techniquevariable-coefficient variant Boussinesq modelN-solitonic solution
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
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