Exact solutions of nonlinear generalizations of the Klein-Gordon and Schrödinger equations

DOI10.1016/0022-247X(78)90273-1zbMath0394.35072MaRDI QIDQ1252587

Philip B. Burt

Publication date: 1978

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

exact solutionsKlein-Gordon equatiommultiple sine-Gordon equationsnonlinear generalizations of the Schrödinger equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Second-order nonlinear hyperbolic equations (35L70) Partial differential equations of mathematical physics and other areas of application (35Q99) Solutions to PDEs in closed form (35C05)

Related Items (1)

Exact solutions of nonlinear generalizations of the wave equation

Cites Work

• Unnamed Item
• Exact solution to a nonlinear Klein-Gordon equation
• Solution of nonlinear partial differential equations from base equations
• Sur une généralisation non linéaire de la mécanique ondulatoire et les propriétés des fonctions d’ondes correspondantes
• Nonlinear Differential Equations Equivalent to Solvable Nonlinear Equations
• Bäcklund transformations for the sine–Gordon equations
• FIELDS OF UNIT VECTORS IN THE FOUR-SPACE OF GENERAL RELATIVITY
• An Exact Solution of the Nonlinear Differential Equation .. y   + p(t)y = q m (t)/y 2m-1
• The nonlinear differential equation 𝑦”+𝑝(𝑥)𝑦+𝑐𝑦⁻³=0

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