On Cauchy problems for the RLW equation in two space dimensions

DOI10.1007/BF02436558zbMath1010.35093MaRDI QIDQ696260

Zhenghong Huang

Publication date: 14 October 2002

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

stabilityuniquenessperiodic solutioncnoidal wave solution

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Solutions to PDEs in closed form (35C05)

Related Items (4)

Arbitrary high-order linear structure-preserving schemes for the regularized long-wave equation ⋮ The solitary wave solution of the two-dimensional regularized long-wave equation in fluids and plasmas ⋮ Soliton wave solutions of nonlinear mathematical models in elastic rods and bistable surfaces ⋮ The use of interpolating element-free Galerkin technique for solving 2D generalized Benjamin-Bona-Mahony-Burgers and regularized long-wave equations on non-rectangular domains with error estimate

Cites Work

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• Dispersion of low-energy waves for the generalized Benjamin-Bona-Mahony equation
• Model equations for long waves in nonlinear dispersive systems

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